Atkin-Lehner |
2- 3+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
95700a |
Isogeny class |
Conductor |
95700 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
1144811250000 = 24 · 32 · 57 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45133,3705262] |
[a1,a2,a3,a4,a6] |
Generators |
[121:33:1] [3729:-7975:27] |
Generators of the group modulo torsion |
j |
40670164811776/4579245 |
j-invariant |
L |
9.3186078755285 |
L(r)(E,1)/r! |
Ω |
0.83406831403387 |
Real period |
R |
0.46551981604179 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000816 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19140i1 |
Quadratic twists by: 5 |