Cremona's table of elliptic curves

23055 = 3 · 5 · 29 · 53

Field	Data	Notes
Atkin-Lehner	3- 5- 29- 53-	Signs for the Atkin-Lehner involutions
Class	23055h	Isogeny class
Conductor	23055	Conductor
∏ cp	812	Product of Tamagawa factors cp
deg	5846400	Modular degree for the optimal curve
Δ	-2.0098992050388E+26	Discriminant
Eigenvalues	0 3- 5-  2  0  0 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,107911465,528324751964]	[a1,a2,a3,a4,a6]
Generators	[157658:25686311:8]	Generators of the group modulo torsion
j	138971733140022588075356094464/200989920503877038712421875	j-invariant
L	6.0949185569839	L(r)(E,1)/r!
Ω	0.038246511086995	Real period
R	0.19625469416318	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	69165f1 115275d1	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 23055h1

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	-3	-4	6	-	6	8	-9	-6	-9	-	-14	-8	-7	-13	1	14	-4	-2	-2

---

Quadratic twists for elliptic curve 23055h1

-3	5
69165f1	115275d1

---

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