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	7440b	Isogeny class
Conductor	7440	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-92256000 = -1 · 28 · 3 · 53 · 312	Discriminant
Eigenvalues	2+ 3+ 5+  2  0  0  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,84,-384]	[a1,a2,a3,a4,a6]
Generators	[29:160:1]	Generators of the group modulo torsion
j	253012016/360375	j-invariant
L	3.5660909216674	L(r)(E,1)/r!
Ω	1.0113308161876	Real period
R	3.5261369124601	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3720d1 29760cu1 22320p1 37200r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7440b1

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	0	0	2	0	0	-8	+	-8	2	0	8	6	-10	-6	-14	6	-4	16	12	-8	-10

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Quadratic twists for elliptic curve 7440b1

-4	8	-3	5
3720d1	29760cu1	22320p1	37200r1

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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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