Atkin-Lehner |
2- 3- 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37062k |
Isogeny class |
Conductor |
37062 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-426997546502256 = -1 · 24 · 312 · 294 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-272471,-54683809] |
[a1,a2,a3,a4,a6] |
j |
-3068707865547656233/585730516464 |
j-invariant |
L |
0.83584283898218 |
L(r)(E,1)/r! |
Ω |
0.10448035487472 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12354e1 |
Quadratic twists by: -3 |