Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
86688bk |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
337042944 = 29 · 37 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -6 1 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53787,4801358] |
[a1,a2,a3,a4,a6] |
Generators |
[133:-18:1] [253:2718:1] |
Generators of the group modulo torsion |
j |
46106078848712/903 |
j-invariant |
L |
11.095522312877 |
L(r)(E,1)/r! |
Ω |
1.2302043663537 |
Real period |
R |
1.1274064107346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86688o1 28896c1 |
Quadratic twists by: -4 -3 |