Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550s |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1348963434000000000 = 210 · 32 · 59 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-281775,-13966875] |
[a1,a2,a3,a4,a6] |
Generators |
[-2850:52875:8] [-210:6105:1] |
Generators of the group modulo torsion |
j |
1345938541921/733824000 |
j-invariant |
L |
6.8823853826829 |
L(r)(E,1)/r! |
Ω |
0.22117837194887 |
Real period |
R |
1.9448062783198 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110cv1 13650bh1 |
Quadratic twists by: 5 -7 |