Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634l |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-3731855456952 = -1 · 23 · 37 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 4 -5 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15885,-772227] |
[a1,a2,a3,a4,a6] |
j |
-105484561/888 |
j-invariant |
L |
2.5502603410831 |
L(r)(E,1)/r! |
Ω |
0.21252169508956 |
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 |
10878bn1 32634ba1 |
Quadratic twists by: -3 -7 |