Atkin-Lehner |
5+ 37+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
61975c |
Isogeny class |
Conductor |
61975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48640 |
Modular degree for the optimal curve |
Δ |
2595203125 = 56 · 37 · 672 |
Discriminant |
Eigenvalues |
-2 1 5+ -5 -3 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-408,-2156] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:12:1] [-11:33:1] |
Generators of the group modulo torsion |
j |
481890304/166093 |
j-invariant |
L |
4.956439762267 |
L(r)(E,1)/r! |
Ω |
1.0918941541732 |
Real period |
R |
1.1348260596816 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2479a1 |
Quadratic twists by: 5 |