Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152p |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10614607872 = 212 · 3 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15144,-712272] |
[a1,a2,a3,a4,a6] |
Generators |
[7158:100430:27] |
Generators of the group modulo torsion |
j |
93780867197737/2591457 |
j-invariant |
L |
4.2371919211203 |
L(r)(E,1)/r! |
Ω |
0.4303657830544 |
Real period |
R |
4.9227797468563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1947e3 124608dg4 93456br4 |
Quadratic twists by: -4 8 -3 |