Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200fs |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
1411730661077452800 = 211 · 314 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1908795,-1013438090] |
[a1,a2,a3,a4,a6] |
Generators |
[-180124326797813422:16996554684397224:233437671339517] |
Generators of the group modulo torsion |
j |
3574536770/6561 |
j-invariant |
L |
6.8895549031728 |
L(r)(E,1)/r! |
Ω |
0.12845695306894 |
Real period |
R |
26.816590066073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400bf1 88200dg1 88200go1 |
Quadratic twists by: -3 5 -7 |