Cremona's table of elliptic curves

23104 = 2⁶ · 19²

Field	Data	Notes
Atkin-Lehner	2- 19-	Signs for the Atkin-Lehner involutions
Class	23104bo	Isogeny class
Conductor	23104	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	7200	Modular degree for the optimal curve
Δ	-3010936384 = -1 · 26 · 196	Discriminant
Eigenvalues	2-  0  2  0  0  6  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,361,0]	[a1,a2,a3,a4,a6]
Generators	[201577500:-1399117850:21717639]	Generators of the group modulo torsion
j	1728	j-invariant
L	6.1494428674145	L(r)(E,1)/r!
Ω	0.85070780548784	Real period
R	14.457238614116	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	23104bo1 11552h4 64a4	Quadratic twists by: -4 8 -19

Hecke Eigenvalues for elliptic curve 23104bo1

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
-	0	2	0	0	6	2	-	0	-10	0	-2	-10	0	0	14	0	10	0	0	-6	0	0	-10	-18

---

Quadratic twists for elliptic curve 23104bo1

-4	8	-19
23104bo1	11552h4	64a4

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations