Cremona's table of elliptic curves

36120 = 2³ · 3 · 5 · 7 · 43

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+ 43-	Signs for the Atkin-Lehner involutions
Class	36120l	Isogeny class
Conductor	36120	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	9205641446400 = 210 · 34 · 52 · 74 · 432	Discriminant
Eigenvalues	2+ 3- 5+ 7+ -4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-50576,4358640]	[a1,a2,a3,a4,a6]
Generators	[-113:2940:1]	Generators of the group modulo torsion
j	13972231668773956/8989884225	j-invariant
L	5.9526249667992	L(r)(E,1)/r!
Ω	0.72234957258312	Real period
R	2.0601607562084	Regulator
r	1	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	72240d2 108360br2	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 36120l2

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

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Quadratic twists for elliptic curve 36120l2

-4	-3
72240d2	108360br2

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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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