Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57800n |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-4.74351505988E+20 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 -2 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3817208,-3057112912] |
[a1,a2,a3,a4,a6] |
j |
-63710026/4913 |
j-invariant |
L |
1.7205412774974 |
L(r)(E,1)/r! |
Ω |
0.053766914983509 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600u1 57800y1 3400f1 |
Quadratic twists by: -4 5 17 |