Atkin-Lehner |
3- 5+ 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
56115l |
Isogeny class |
Conductor |
56115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-33365452921875 = -1 · 310 · 56 · 292 · 43 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 3 -7 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15483,-791901] |
[a1,a2,a3,a4,a6] |
j |
-563068879998976/45768796875 |
j-invariant |
L |
1.7040366748612 |
L(r)(E,1)/r! |
Ω |
0.21300458439899 |
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 |
18705j1 |
Quadratic twists by: -3 |