Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bk |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
73076891250000 = 24 · 3 · 57 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-167383,26299238] |
[a1,a2,a3,a4,a6] |
Generators |
[1706:4719:8] |
Generators of the group modulo torsion |
j |
1171019776/165 |
j-invariant |
L |
7.0552039668568 |
L(r)(E,1)/r! |
Ω |
0.59260752846864 |
Real period |
R |
2.9763391568574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520be1 6600bc1 |
Quadratic twists by: 5 -11 |