Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30258p |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
2168397692928 = 216 · 39 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 1 5 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10094,-381315] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:99:1] |
Generators of the group modulo torsion |
j |
92806423177/1769472 |
j-invariant |
L |
9.8314297426155 |
L(r)(E,1)/r! |
Ω |
0.47685904064702 |
Real period |
R |
0.64428301294209 |
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 |
10086b1 30258z1 |
Quadratic twists by: -3 41 |