Atkin-Lehner |
3+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23925h |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1311762890625 = 3 · 58 · 113 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51750,4509375] |
[a1,a2,a3,a4,a6] |
Generators |
[982:785:8] |
Generators of the group modulo torsion |
j |
980952235382881/83952825 |
j-invariant |
L |
4.6688587295066 |
L(r)(E,1)/r! |
Ω |
0.81984161203347 |
Real period |
R |
1.8982767162901 |
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 |
71775w1 4785d1 |
Quadratic twists by: -3 5 |