Atkin-Lehner |
5- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
115885m |
Isogeny class |
Conductor |
115885 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
-811195 = -1 · 5 · 73 · 11 · 43 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 11- 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-275,-1851] |
[a1,a2,a3,a4,a6] |
j |
-6729859072/2365 |
j-invariant |
L |
1.1719951873128 |
L(r)(E,1)/r! |
Ω |
0.58599742244139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115885f1 |
Quadratic twists by: -7 |