Atkin-Lehner |
2- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12136c |
Isogeny class |
Conductor |
12136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
589129984 = 28 · 372 · 412 |
Discriminant |
Eigenvalues |
2- 0 -2 4 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-511,4290] |
[a1,a2,a3,a4,a6] |
j |
57642982992/2301289 |
j-invariant |
L |
1.6177832304952 |
L(r)(E,1)/r! |
Ω |
1.6177832304952 |
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 |
24272c2 97088e2 109224d2 |
Quadratic twists by: -4 8 -3 |