Atkin-Lehner |
3+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118203a |
Isogeny class |
Conductor |
118203 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2284080 |
Modular degree for the optimal curve |
Δ |
-7230198692550952803 = -1 · 3 · 318 · 414 |
Discriminant |
Eigenvalues |
2 3+ 0 0 2 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-248258,-137769859] |
[a1,a2,a3,a4,a6] |
j |
-1984000000/8477283 |
j-invariant |
L |
1.167390007555 |
L(r)(E,1)/r! |
Ω |
0.097282458920296 |
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 |
118203j1 |
Quadratic twists by: -31 |