Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30258u |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1259520 |
Modular degree for the optimal curve |
Δ |
6.1097326124339E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 6 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3321131,2299851771] |
[a1,a2,a3,a4,a6] |
Generators |
[941:2220:1] |
Generators of the group modulo torsion |
j |
16974593/256 |
j-invariant |
L |
7.8521873483867 |
L(r)(E,1)/r! |
Ω |
0.19758536133578 |
Real period |
R |
4.9675917887476 |
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 |
3362a1 30258t1 |
Quadratic twists by: -3 41 |