Cremona's table of elliptic curves

7380 = 2² · 3² · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 41-	Signs for the Atkin-Lehner involutions
Class	7380g	Isogeny class
Conductor	7380	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-3573409284000000 = -1 · 28 · 312 · 56 · 412	Discriminant
Eigenvalues	2- 3- 5+ -4 -6  2  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,19617,2674582]	[a1,a2,a3,a4,a6]
j	4473567501104/19147640625	j-invariant
L	0.6350744521227	L(r)(E,1)/r!
Ω	0.31753722606135	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	29520br2 118080cz2 2460e2 36900k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7380g2

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

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Quadratic twists for elliptic curve 7380g2

-4	8	-3	5
29520br2	118080cz2	2460e2	36900k2

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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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