Atkin-Lehner |
3- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57195k |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-630805999995 = -1 · 310 · 5 · 31 · 413 |
Discriminant |
Eigenvalues |
-2 3- 5+ 5 1 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,357,38124] |
[a1,a2,a3,a4,a6] |
j |
6902411264/865303155 |
j-invariant |
L |
1.4029052082653 |
L(r)(E,1)/r! |
Ω |
0.70145260737132 |
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 |
19065n1 |
Quadratic twists by: -3 |