Atkin-Lehner |
2+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
31958b |
Isogeny class |
Conductor |
31958 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
194880 |
Modular degree for the optimal curve |
Δ |
23115386250101888 = 27 · 192 · 298 |
Discriminant |
Eigenvalues |
2+ 0 0 3 0 4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-83837,5833925] |
[a1,a2,a3,a4,a6] |
j |
130271625/46208 |
j-invariant |
L |
2.0918927766724 |
L(r)(E,1)/r! |
Ω |
0.34864879611105 |
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 |
31958i1 |
Quadratic twists by: 29 |