Atkin-Lehner |
3- 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
31059n |
Isogeny class |
Conductor |
31059 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
-93285253074659499 = -1 · 313 · 72 · 175 · 292 |
Discriminant |
Eigenvalues |
0 3- 3 7- 5 -7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3354,-14694642] |
[a1,a2,a3,a4,a6] |
j |
5723811971072/127963310116131 |
j-invariant |
L |
2.4971195295878 |
L(r)(E,1)/r! |
Ω |
0.15606997059906 |
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 |
10353g1 |
Quadratic twists by: -3 |