Cremona's table of elliptic curves

23310 = 2 · 3² · 5 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7+ 37-	Signs for the Atkin-Lehner involutions
Class	23310bc	Isogeny class
Conductor	23310	Conductor
∏ cp	192	Product of Tamagawa factors cp
deg	147456	Modular degree for the optimal curve
Δ	-7816503512160000 = -1 · 28 · 39 · 54 · 72 · 373	Discriminant
Eigenvalues	2- 3+ 5+ 7+ -2  0  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,3292,4252231]	[a1,a2,a3,a4,a6]
Generators	[-47:2021:1]	Generators of the group modulo torsion
j	200509785477/397119520000	j-invariant
L	7.2078625930305	L(r)(E,1)/r!
Ω	0.32622242103205	Real period
R	0.46031110782148	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	23310c1 116550e1	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 23310bc1

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

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Quadratic twists for elliptic curve 23310bc1

-3	5
23310c1	116550e1

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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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