Atkin-Lehner |
5+ 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
117845f |
Isogeny class |
Conductor |
117845 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
115001923971025 = 52 · 76 · 134 · 372 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32178,-2152888] |
[a1,a2,a3,a4,a6] |
Generators |
[758:19833:1] |
Generators of the group modulo torsion |
j |
31318428433761/977500225 |
j-invariant |
L |
2.8622884595531 |
L(r)(E,1)/r! |
Ω |
0.35714182501768 |
Real period |
R |
4.0072154332204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999770617 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2405d2 |
Quadratic twists by: -7 |