Atkin-Lehner |
11+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110561a |
Isogeny class |
Conductor |
110561 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
299376 |
Modular degree for the optimal curve |
Δ |
-71129912341499 = -1 · 113 · 192 · 236 |
Discriminant |
Eigenvalues |
0 1 3 4 11+ 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14459,-787451] |
[a1,a2,a3,a4,a6] |
j |
-2258403328/480491 |
j-invariant |
L |
3.8742297720132 |
L(r)(E,1)/r! |
Ω |
0.21523496379475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
209a1 |
Quadratic twists by: -23 |