Atkin-Lehner |
3+ 5+ 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128325h |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
563200 |
Modular degree for the optimal curve |
Δ |
4735914328125 = 311 · 56 · 29 · 59 |
Discriminant |
Eigenvalues |
2 3+ 5+ 1 -4 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-30508,2058543] |
[a1,a2,a3,a4,a6] |
Generators |
[-12828:18149:64] |
Generators of the group modulo torsion |
j |
200982912126976/303098517 |
j-invariant |
L |
13.074618969051 |
L(r)(E,1)/r! |
Ω |
0.77068023599978 |
Real period |
R |
8.4825185830408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5133d1 |
Quadratic twists by: 5 |