Atkin-Lehner |
2- 3+ 11+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746u |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-149809374 = -1 · 2 · 32 · 113 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 11+ 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-776,-8665] |
[a1,a2,a3,a4,a6] |
j |
-51682540549249/149809374 |
j-invariant |
L |
1.8087802671633 |
L(r)(E,1)/r! |
Ω |
0.4521950667914 |
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 |
95238bf1 |
Quadratic twists by: -3 |