Atkin-Lehner |
2- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
57232c |
Isogeny class |
Conductor |
57232 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-5743345664 = -1 · 215 · 74 · 73 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 0 -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,34672] |
[a1,a2,a3,a4,a6] |
Generators |
[12:112:1] |
Generators of the group modulo torsion |
j |
-86806489/584 |
j-invariant |
L |
3.1016753447298 |
L(r)(E,1)/r! |
Ω |
1.3572120072385 |
Real period |
R |
0.19044404559737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7154b1 57232j1 |
Quadratic twists by: -4 -7 |