Atkin-Lehner |
2- 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12402k |
Isogeny class |
Conductor |
12402 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
448508805264 = 24 · 310 · 132 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1931,5771] |
[a1,a2,a3,a4,a6] |
j |
1091772468073/615238416 |
j-invariant |
L |
3.2385884487626 |
L(r)(E,1)/r! |
Ω |
0.80964711219065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99216bo2 4134e2 |
Quadratic twists by: -4 -3 |