Atkin-Lehner |
2+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
39494l |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66528 |
Modular degree for the optimal curve |
Δ |
-3010127783936 = -1 · 211 · 76 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 2 13- -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2522,67960] |
[a1,a2,a3,a4,a6] |
j |
15087533111/25585664 |
j-invariant |
L |
1.0964641722025 |
L(r)(E,1)/r! |
Ω |
0.548232086083 |
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 |
806b1 |
Quadratic twists by: -7 |