Atkin-Lehner |
37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62197c |
Isogeny class |
Conductor |
62197 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
44880 |
Modular degree for the optimal curve |
Δ |
175753856917 = 37 · 416 |
Discriminant |
Eigenvalues |
0 -1 0 1 -3 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5603,162045] |
[a1,a2,a3,a4,a6] |
j |
4096000/37 |
j-invariant |
L |
1.0199910797985 |
L(r)(E,1)/r! |
Ω |
1.019991072365 |
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 |
37b3 |
Quadratic twists by: 41 |