Cremona's table of elliptic curves

7440 = 2⁴ · 3 · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 31-	Signs for the Atkin-Lehner involutions
Class	7440o	Isogeny class
Conductor	7440	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	13617871257600 = 216 · 32 · 52 · 314	Discriminant
Eigenvalues	2- 3+ 5-  0  4  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-307520,65740800]	[a1,a2,a3,a4,a6]
j	785209010066844481/3324675600	j-invariant
L	2.488400491401	L(r)(E,1)/r!
Ω	0.62210012285026	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	930o3 29760cm4 22320bn4 37200cz4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7440o4

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	4	6	2	-4	8	6	-	-2	10	4	0	-10	12	-2	4	0	2	0	-4	-14	18

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Quadratic twists for elliptic curve 7440o4

-4	8	-3	5
930o3	29760cm4	22320bn4	37200cz4

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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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