Atkin-Lehner |
3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11655f |
Isogeny class |
Conductor |
11655 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8021158587225 = 314 · 52 · 72 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-314685,-67866984] |
[a1,a2,a3,a4,a6] |
Generators |
[-9915216504:4716804612:30664297] |
Generators of the group modulo torsion |
j |
4727429774433470161/11002961025 |
j-invariant |
L |
4.8021022594412 |
L(r)(E,1)/r! |
Ω |
0.20157215559019 |
Real period |
R |
11.911621040567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3885h2 58275r2 81585be2 |
Quadratic twists by: -3 5 -7 |