Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57800q |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
574080 |
Modular degree for the optimal curve |
Δ |
-19310055200000000 = -1 · 211 · 58 · 176 |
Discriminant |
Eigenvalues |
2+ 3 5- -2 -1 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36125,-6141250] |
[a1,a2,a3,a4,a6] |
j |
270 |
j-invariant |
L |
5.2951535267395 |
L(r)(E,1)/r! |
Ω |
0.19611679731881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600z1 57800x1 200a1 |
Quadratic twists by: -4 5 17 |