Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634d |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-511584159744 = -1 · 211 · 39 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 0 0 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20400,-1116928] |
[a1,a2,a3,a4,a6] |
j |
-139072344741/75776 |
j-invariant |
L |
0.79892648299302 |
L(r)(E,1)/r! |
Ω |
0.19973162074878 |
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 |
32634bk1 32634c1 |
Quadratic twists by: -3 -7 |