Atkin-Lehner |
2- 11- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
94622o |
Isogeny class |
Conductor |
94622 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-340701017688064 = -1 · 211 · 112 · 173 · 234 |
Discriminant |
Eigenvalues |
2- 0 -1 -1 11- 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16862,-284127] |
[a1,a2,a3,a4,a6] |
Generators |
[433:9167:1] |
Generators of the group modulo torsion |
j |
4382175258801351/2815710889984 |
j-invariant |
L |
8.7019598944808 |
L(r)(E,1)/r! |
Ω |
0.30931591335382 |
Real period |
R |
0.21312818316229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94622c1 |
Quadratic twists by: -11 |