Cremona's table of elliptic curves

29520 = 2⁴ · 3² · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 41+	Signs for the Atkin-Lehner involutions
Class	29520bm	Isogeny class
Conductor	29520	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	195880550400 = 218 · 36 · 52 · 41	Discriminant
Eigenvalues	2- 3- 5+ -4  0 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-50380803,-137640341502]	[a1,a2,a3,a4,a6]
Generators	[-92980431041119:-527485726:22689222191]	Generators of the group modulo torsion
j	4736215902196909260801/65600	j-invariant
L	3.6952212095628	L(r)(E,1)/r!
Ω	0.056667399537763	Real period
R	16.302235675648	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	3690f3 118080fr4 3280n3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 29520bm4

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

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Quadratic twists for elliptic curve 29520bm4

-4	8	-3
3690f3	118080fr4	3280n3

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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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