Atkin-Lehner |
2- 37+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39664f |
Isogeny class |
Conductor |
39664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
79688965881088 = 28 · 375 · 672 |
Discriminant |
Eigenvalues |
2- -1 0 5 -3 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11013,119593] |
[a1,a2,a3,a4,a6] |
j |
577085415424000/311285022973 |
j-invariant |
L |
2.1298020105363 |
L(r)(E,1)/r! |
Ω |
0.5324505026152 |
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 |
9916a1 |
Quadratic twists by: -4 |