Atkin-Lehner |
3+ 11+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89001a |
Isogeny class |
Conductor |
89001 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-194645187 = -1 · 39 · 11 · 29 · 31 |
Discriminant |
Eigenvalues |
2 3+ 0 -2 11+ 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1215,-16315] |
[a1,a2,a3,a4,a6] |
Generators |
[799234170:20674800049:1191016] |
Generators of the group modulo torsion |
j |
-10077696000/9889 |
j-invariant |
L |
11.496056532391 |
L(r)(E,1)/r! |
Ω |
0.4042964571582 |
Real period |
R |
14.21735997548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89001b1 |
Quadratic twists by: -3 |