Atkin-Lehner |
37+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121841b |
Isogeny class |
Conductor |
121841 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
228349650401 = 376 · 89 |
Discriminant |
Eigenvalues |
-1 2 2 2 -4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2082,27566] |
[a1,a2,a3,a4,a6] |
Generators |
[42831615120:-176099313314:961504803] |
Generators of the group modulo torsion |
j |
389017/89 |
j-invariant |
L |
6.6106776665617 |
L(r)(E,1)/r! |
Ω |
0.93530189425782 |
Real period |
R |
14.135922774309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89b2 |
Quadratic twists by: 37 |