Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57800p |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
754299031250000 = 24 · 59 · 176 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24083,-576662] |
[a1,a2,a3,a4,a6] |
j |
2048 |
j-invariant |
L |
0.80527086364186 |
L(r)(E,1)/r! |
Ω |
0.40263543284017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115600w1 57800ba1 200d1 |
Quadratic twists by: -4 5 17 |