Atkin-Lehner |
41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115169a |
Isogeny class |
Conductor |
115169 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
235872 |
Modular degree for the optimal curve |
Δ |
48163156733317 = 41 · 537 |
Discriminant |
Eigenvalues |
0 -1 0 4 -6 2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9363,-97509] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:63:1] |
Generators of the group modulo torsion |
j |
4096000/2173 |
j-invariant |
L |
4.6950919665459 |
L(r)(E,1)/r! |
Ω |
0.51540242128624 |
Real period |
R |
4.5547826108764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2173c1 |
Quadratic twists by: 53 |