Atkin-Lehner |
2+ 3- 7+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378n |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
63927689646618 = 2 · 38 · 75 · 173 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31752,-2135570] |
[a1,a2,a3,a4,a6] |
j |
4856430021738625/87692304042 |
j-invariant |
L |
2.1482425596006 |
L(r)(E,1)/r! |
Ω |
0.35804048475609 |
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 |
42126m1 |
Quadratic twists by: -3 |