Atkin-Lehner |
2- 3- 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37062j |
Isogeny class |
Conductor |
37062 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44640 |
Modular degree for the optimal curve |
Δ |
-358507471284 = -1 · 22 · 36 · 293 · 712 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 5 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-248,-28785] |
[a1,a2,a3,a4,a6] |
j |
-2305199161/491779796 |
j-invariant |
L |
1.7071462906548 |
L(r)(E,1)/r! |
Ω |
0.42678657267213 |
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 |
4118b1 |
Quadratic twists by: -3 |