Atkin-Lehner |
2+ 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710bl |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-934246780803072000 = -1 · 214 · 34 · 53 · 117 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,192992,-33115282] |
[a1,a2,a3,a4,a6] |
Generators |
[274:6215:1] |
Generators of the group modulo torsion |
j |
448733772344879/527357952000 |
j-invariant |
L |
7.6014944837143 |
L(r)(E,1)/r! |
Ω |
0.1501179175447 |
Real period |
R |
2.1098676428989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bl1 |
Quadratic twists by: -11 |