Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57800x |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
114816 |
Modular degree for the optimal curve |
Δ |
-1235843532800 = -1 · 211 · 52 · 176 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 -1 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1445,-49130] |
[a1,a2,a3,a4,a6] |
j |
270 |
j-invariant |
L |
0.43853049344631 |
L(r)(E,1)/r! |
Ω |
0.43853049033441 |
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 |
115600n1 57800q1 200e1 |
Quadratic twists by: -4 5 17 |