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	79200dc	Isogeny class
Conductor	79200	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-1440894015000000000 = -1 · 29 · 39 · 510 · 114	Discriminant
Eigenvalues	2- 3- 5+  0 11+  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-162075,-62977250]	[a1,a2,a3,a4,a6]
Generators	[18905:2598750:1]	Generators of the group modulo torsion
j	-80733594248/247066875	j-invariant
L	7.0802575377273	L(r)(E,1)/r!
Ω	0.10987853138896	Real period
R	4.027320809343	Regulator
r	1	Rank of the group of rational points
S	1.000000000328	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	79200dt2 26400t2 15840a4	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 79200dc2

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
-	-	+	0	+	2	2	4	8	-6	-8	-2	2	8	-8	14	4	10	-4	4	-10	-8	-4	-2	-18

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Quadratic twists for elliptic curve 79200dc2

-4	-3	5
79200dt2	26400t2	15840a4

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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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