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	79200cf	Isogeny class
Conductor	79200	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	307200	Modular degree for the optimal curve
Δ	-6639639621120000 = -1 · 212 · 311 · 54 · 114	Discriminant
Eigenvalues	2+ 3- 5- -1 11- -3  0 -3	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-10200,3940400]	[a1,a2,a3,a4,a6]
Generators	[100:-1980:1] [-140:1620:1]	Generators of the group modulo torsion
j	-62886400/3557763	j-invariant
L	10.826147492394	L(r)(E,1)/r!
Ω	0.34902705043801	Real period
R	0.32310495582259	Regulator
r	2	Rank of the group of rational points
S	0.99999999999803	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	79200ca1 26400bn1 79200dz1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 79200cf1

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
+	-	-	-1	-	-3	0	-3	-4	-4	-5	-6	-2	-1	-6	-6	-10	-5	7	-6	-14	0	-14	-12	-11

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Quadratic twists for elliptic curve 79200cf1

-4	-3	5
79200ca1	26400bn1	79200dz1

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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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