Atkin-Lehner |
2+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52022g |
Isogeny class |
Conductor |
52022 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1915200 |
Modular degree for the optimal curve |
Δ |
7521943233188613344 = 25 · 195 · 377 |
Discriminant |
Eigenvalues |
2+ 2 -3 4 -5 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-840594,-266024236] |
[a1,a2,a3,a4,a6] |
j |
25601949246817/2931701216 |
j-invariant |
L |
1.5884743755947 |
L(r)(E,1)/r! |
Ω |
0.15884743759378 |
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 |
1406d1 |
Quadratic twists by: 37 |