Atkin-Lehner |
2- 3+ 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746bd |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-6099016186692 = -1 · 22 · 39 · 115 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 13- 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1913,115169] |
[a1,a2,a3,a4,a6] |
j |
774202257258767/6099016186692 |
j-invariant |
L |
5.5126052310202 |
L(r)(E,1)/r! |
Ω |
0.55126052310203 |
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 |
95238v1 |
Quadratic twists by: -3 |