Cremona's table of elliptic curves

79200 = 2⁵ · 3² · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11+	Signs for the Atkin-Lehner involutions
Class	79200di	Isogeny class
Conductor	79200	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1.255306865868E+22	Discriminant
Eigenvalues	2- 3- 5+  2 11+  2  0  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-181850700,-943872856000]	[a1,a2,a3,a4,a6]
Generators	[1167626492219938360647823682780:759329847823627896499443796667100:2758065581304768087407627]	Generators of the group modulo torsion
j	14254800421166387776/269055826875	j-invariant
L	7.7440186705099	L(r)(E,1)/r!
Ω	0.041112255361984	Real period
R	47.090694749273	Regulator
r	1	Rank of the group of rational points
S	0.99999999995976	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	79200eb2 26400h2 15840d2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 79200di2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	+	2	+	2	0	6	-8	8	-4	6	12	6	0	2	-4	2	-12	-16	2	-10	0	-18	18

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Quadratic twists for elliptic curve 79200di2

-4	-3	5
79200eb2	26400h2	15840d2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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