Atkin-Lehner |
2- 5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950bv |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34680 |
Modular degree for the optimal curve |
Δ |
-905468750 = -1 · 2 · 58 · 19 · 61 |
Discriminant |
Eigenvalues |
2- 0 5- -4 1 -1 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,195,947] |
[a1,a2,a3,a4,a6] |
j |
2109375/2318 |
j-invariant |
L |
1.0457813227384 |
L(r)(E,1)/r! |
Ω |
1.0457813246925 |
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 |
57950i1 |
Quadratic twists by: 5 |