Atkin-Lehner |
2+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
57038d |
Isogeny class |
Conductor |
57038 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
582768 |
Modular degree for the optimal curve |
Δ |
93316489674752 = 219 · 192 · 793 |
Discriminant |
Eigenvalues |
2+ -2 -4 3 -4 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75058,-7907388] |
[a1,a2,a3,a4,a6] |
j |
129538587342809521/258494431232 |
j-invariant |
L |
0.28847160125213 |
L(r)(E,1)/r! |
Ω |
0.28847160091896 |
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 |
57038m1 |
Quadratic twists by: -19 |