Atkin-Lehner |
29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31117c |
Isogeny class |
Conductor |
31117 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-536764401107153 = -1 · 299 · 37 |
Discriminant |
Eigenvalues |
-1 -3 -2 2 -1 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11091,-1199148] |
[a1,a2,a3,a4,a6] |
j |
-253636137/902393 |
j-invariant |
L |
0.42681163815986 |
L(r)(E,1)/r! |
Ω |
0.2134058190783 |
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 |
1073b1 |
Quadratic twists by: 29 |