Atkin-Lehner |
3- 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
19065m |
Isogeny class |
Conductor |
19065 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-4468359375 = -1 · 32 · 58 · 31 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 4 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,30,-3213] |
[a1,a2,a3,a4,a6] |
j |
2979767519/4468359375 |
j-invariant |
L |
2.5642130742349 |
L(r)(E,1)/r! |
Ω |
0.64105326855873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57195g1 95325e1 |
Quadratic twists by: -3 5 |