Atkin-Lehner |
2- 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832be |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-778676976 = -1 · 24 · 37 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1330,-18281] |
[a1,a2,a3,a4,a6] |
j |
-16273656645376/48667311 |
j-invariant |
L |
0.79037220261158 |
L(r)(E,1)/r! |
Ω |
0.39518610024449 |
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 |
15708f1 |
Quadratic twists by: -4 |