Atkin-Lehner |
2+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800v |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
2687354814482000 = 24 · 53 · 134 · 196 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -4 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36170,-888625] |
[a1,a2,a3,a4,a6] |
Generators |
[7195:610090:1] |
Generators of the group modulo torsion |
j |
2616611481704448/1343677407241 |
j-invariant |
L |
3.5095782780055 |
L(r)(E,1)/r! |
Ω |
0.36586290631878 |
Real period |
R |
1.5987674691049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49400f1 98800ba1 |
Quadratic twists by: -4 5 |