Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445t |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13132800 |
Modular degree for the optimal curve |
Δ |
1.1045117779387E+23 |
Discriminant |
Eigenvalues |
2 0 5+ 7- 3 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-108557393,435054927473] |
[a1,a2,a3,a4,a6] |
Generators |
[28558590692224383437457439869178610:3028645991978399228186408994666112961:1754808359878431250845666661000] |
Generators of the group modulo torsion |
j |
196145197056/153125 |
j-invariant |
L |
11.318082684216 |
L(r)(E,1)/r! |
Ω |
0.10468601090541 |
Real period |
R |
54.057283233582 |
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 |
12635g1 88445m1 |
Quadratic twists by: -7 -19 |