Atkin-Lehner |
2- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34100d |
Isogeny class |
Conductor |
34100 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
439687531250000 = 24 · 59 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32300,1993625] |
[a1,a2,a3,a4,a6] |
Generators |
[60970:-468875:343] [-161:1738:1] |
Generators of the group modulo torsion |
j |
14907034976256/1758750125 |
j-invariant |
L |
8.0212700545938 |
L(r)(E,1)/r! |
Ω |
0.51116836859073 |
Real period |
R |
0.65383463873077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6820b1 |
Quadratic twists by: 5 |