Atkin-Lehner |
3- 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
19065n |
Isogeny class |
Conductor |
19065 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-865303155 = -1 · 34 · 5 · 31 · 413 |
Discriminant |
Eigenvalues |
2 3- 5- 5 -1 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,40,-1399] |
[a1,a2,a3,a4,a6] |
j |
6902411264/865303155 |
j-invariant |
L |
8.9788662886041 |
L(r)(E,1)/r! |
Ω |
0.74823885738368 |
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 |
57195k1 95325i1 |
Quadratic twists by: -3 5 |