Atkin-Lehner |
2- 3- 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
56610bf |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-18781839360 = -1 · 213 · 36 · 5 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1022,-13939] |
[a1,a2,a3,a4,a6] |
j |
-161789533849/25763840 |
j-invariant |
L |
5.4412454219286 |
L(r)(E,1)/r! |
Ω |
0.4185573404836 |
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 |
6290a1 |
Quadratic twists by: -3 |