Atkin-Lehner |
2+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
99944a |
Isogeny class |
Conductor |
99944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
568320 |
Modular degree for the optimal curve |
Δ |
-91561979761408 = -1 · 28 · 13 · 317 |
Discriminant |
Eigenvalues |
2+ 0 -4 -2 -3 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88412,-10128940] |
[a1,a2,a3,a4,a6] |
Generators |
[346:838:1] [434:5766:1] |
Generators of the group modulo torsion |
j |
-336393216/403 |
j-invariant |
L |
6.9568948237096 |
L(r)(E,1)/r! |
Ω |
0.13842373448741 |
Real period |
R |
3.1411226411859 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3224b1 |
Quadratic twists by: -31 |