Atkin-Lehner |
2+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
61936a |
Isogeny class |
Conductor |
61936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
9517333504 = 210 · 76 · 79 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -4 -1 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,7076] |
[a1,a2,a3,a4,a6] |
j |
470596/79 |
j-invariant |
L |
2.4711609020668 |
L(r)(E,1)/r! |
Ω |
1.2355804517939 |
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 |
30968f1 1264a1 |
Quadratic twists by: -4 -7 |