Atkin-Lehner |
2- 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36550q |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21969792 |
Modular degree for the optimal curve |
Δ |
7.7808817892014E+26 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -4 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1831862005,-30147462337003] |
[a1,a2,a3,a4,a6] |
Generators |
[7923733050198822623:-4430663939101594357400:24904762548427] |
Generators of the group modulo torsion |
j |
43509285431321196861086642649/49797643450888671875000 |
j-invariant |
L |
7.2023922753094 |
L(r)(E,1)/r! |
Ω |
0.023078427365868 |
Real period |
R |
26.006943487122 |
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 |
7310e1 |
Quadratic twists by: 5 |