Cremona's table of elliptic curves

23805 = 3² · 5 · 23²

Field	Data	Notes
Atkin-Lehner	3+ 5- 23-	Signs for the Atkin-Lehner involutions
Class	23805g	Isogeny class
Conductor	23805	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	29952	Modular degree for the optimal curve
Δ	-6507691875 = -1 · 39 · 54 · 232	Discriminant
Eigenvalues	2 3+ 5- -1 -2  1  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-4347,-110383]	[a1,a2,a3,a4,a6]
Generators	[738:4181:8]	Generators of the group modulo torsion
j	-872460288/625	j-invariant
L	10.837804074741	L(r)(E,1)/r!
Ω	0.29397032371398	Real period
R	4.6083750639427	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23805d1 119025l1 23805c1	Quadratic twists by: -3 5 -23

Hecke Eigenvalues for elliptic curve 23805g1

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	+	-	-1	-2	1	6	-4	-	10	-8	1	4	-9	-6	4	2	-7	1	14	-6	0	12	-10	2

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Quadratic twists for elliptic curve 23805g1

-3	5	-23
23805d1	119025l1	23805c1

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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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