Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25830ba |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
1.6511884194742E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1185413,-456382083] |
[a1,a2,a3,a4,a6] |
Generators |
[-705:5696:1] |
Generators of the group modulo torsion |
j |
252699799527705486601/22650046906368000 |
j-invariant |
L |
7.5629285101983 |
L(r)(E,1)/r! |
Ω |
0.14551671244171 |
Real period |
R |
3.2483075239674 |
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 |
8610e1 129150be1 |
Quadratic twists by: -3 5 |