Atkin-Lehner |
5- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
56525bc |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-174977376875 = -1 · 54 · 74 · 17 · 193 |
Discriminant |
Eigenvalues |
-1 -1 5- 7- -2 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,987,-15794] |
[a1,a2,a3,a4,a6] |
Generators |
[16:58:1] |
Generators of the group modulo torsion |
j |
170124809375/279963803 |
j-invariant |
L |
1.9420083947151 |
L(r)(E,1)/r! |
Ω |
0.53478332664474 |
Real period |
R |
0.30261607803292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56525f1 |
Quadratic twists by: 5 |