Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518w |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
94363369806866688 = 28 · 39 · 117 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-186786,27378324] |
[a1,a2,a3,a4,a6] |
j |
558051585337/73066752 |
j-invariant |
L |
2.6053862947299 |
L(r)(E,1)/r! |
Ω |
0.32567328492473 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22506bm1 6138p1 |
Quadratic twists by: -3 -11 |