Atkin-Lehner |
5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
57475f |
Isogeny class |
Conductor |
57475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-7507671875 = -1 · 56 · 113 · 192 |
Discriminant |
Eigenvalues |
2 3 5+ 2 11+ 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,275,3781] |
[a1,a2,a3,a4,a6] |
j |
110592/361 |
j-invariant |
L |
14.938496401261 |
L(r)(E,1)/r! |
Ω |
0.93365602524303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2299b1 57475c1 |
Quadratic twists by: 5 -11 |