Atkin-Lehner |
2+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23200d |
Isogeny class |
Conductor |
23200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-5800000000 = -1 · 29 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,3912] |
[a1,a2,a3,a4,a6] |
Generators |
[393:7776:1] |
Generators of the group modulo torsion |
j |
-5000/29 |
j-invariant |
L |
6.9851682166731 |
L(r)(E,1)/r! |
Ω |
1.1653311200303 |
Real period |
R |
5.9941488703154 |
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 |
23200l1 46400bf1 23200k1 |
Quadratic twists by: -4 8 5 |