Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30752f |
Isogeny class |
Conductor |
30752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
56800235584 = 26 · 316 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-961,0] |
[a1,a2,a3,a4,a6] |
Generators |
[11767:29520:343] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
3.4851464892641 |
L(r)(E,1)/r! |
Ω |
0.94187087794045 |
Real period |
R |
7.4004761605644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30752f1 61504bn2 32a2 |
Quadratic twists by: -4 8 -31 |