Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
21350r |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
106750000 = 24 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-67638,6742531] |
[a1,a2,a3,a4,a6] |
Generators |
[145:27:1] |
Generators of the group modulo torsion |
j |
2190162605289625/6832 |
j-invariant |
L |
5.8191088135597 |
L(r)(E,1)/r! |
Ω |
1.2482722710352 |
Real period |
R |
0.58271630202257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
854b1 |
Quadratic twists by: 5 |