Atkin-Lehner |
5+ 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
115885b |
Isogeny class |
Conductor |
115885 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
21424471145 = 5 · 77 · 112 · 43 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1716,25724] |
[a1,a2,a3,a4,a6] |
j |
4750104241/182105 |
j-invariant |
L |
2.399797085521 |
L(r)(E,1)/r! |
Ω |
1.1998988583472 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16555d1 |
Quadratic twists by: -7 |