Cremona's table of elliptic curves

23100 = 2² · 3 · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	23100bg	Isogeny class
Conductor	23100	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	26880	Modular degree for the optimal curve
Δ	-100029006000 = -1 · 24 · 310 · 53 · 7 · 112	Discriminant
Eigenvalues	2- 3- 5- 7+ 11-  6 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1007,-8632]	[a1,a2,a3,a4,a6]
Generators	[23:165:1]	Generators of the group modulo torsion
j	56409309184/50014503	j-invariant
L	6.5840311421621	L(r)(E,1)/r!
Ω	0.58475771735769	Real period
R	0.37531390903302	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	92400fo1 69300cg1 23100q1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 23100bg1

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

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Quadratic twists for elliptic curve 23100bg1

-4	-3	5
92400fo1	69300cg1	23100q1

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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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