Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
37926bu |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-368294884279676928 = -1 · 212 · 310 · 77 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-399335,101523615] |
[a1,a2,a3,a4,a6] |
Generators |
[275:-3666:1] |
Generators of the group modulo torsion |
j |
-82114348569625/4294176768 |
j-invariant |
L |
9.2509430394613 |
L(r)(E,1)/r! |
Ω |
0.29822068569886 |
Real period |
R |
0.64625959643654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12642h1 5418o1 |
Quadratic twists by: -3 -7 |