Atkin-Lehner |
2- 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
103092i |
Isogeny class |
Conductor |
103092 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
258210939849984 = 28 · 36 · 117 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-130357,-18142489] |
[a1,a2,a3,a4,a6] |
j |
540174450688/569349 |
j-invariant |
L |
3.0152574673668 |
L(r)(E,1)/r! |
Ω |
0.25127146457976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9372e1 |
Quadratic twists by: -11 |