Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
38688b |
Isogeny class |
Conductor |
38688 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
841928256 = 26 · 34 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-242,-480] |
[a1,a2,a3,a4,a6] |
Generators |
[310:5460:1] |
Generators of the group modulo torsion |
j |
24591397312/13155129 |
j-invariant |
L |
8.5165451161097 |
L(r)(E,1)/r! |
Ω |
1.2868259823892 |
Real period |
R |
3.3091285195752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38688c1 77376l2 116064n1 |
Quadratic twists by: -4 8 -3 |