Atkin-Lehner |
2- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
38624b |
Isogeny class |
Conductor |
38624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29312 |
Modular degree for the optimal curve |
Δ |
10505728 = 29 · 172 · 71 |
Discriminant |
Eigenvalues |
2- -3 4 1 -2 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-403,-3110] |
[a1,a2,a3,a4,a6] |
j |
14137378632/20519 |
j-invariant |
L |
2.1312831123393 |
L(r)(E,1)/r! |
Ω |
1.0656415561268 |
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 |
38624a1 77248f1 |
Quadratic twists by: -4 8 |