Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670bg |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
4213440 |
Modular degree for the optimal curve |
Δ |
-4.4801272170676E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -5 -6 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-165376,-323142751] |
[a1,a2,a3,a4,a6] |
Generators |
[853:12117:1] |
Generators of the group modulo torsion |
j |
-86767484336449/7771521024000 |
j-invariant |
L |
5.4564690443795 |
L(r)(E,1)/r! |
Ω |
0.089413938616866 |
Real period |
R |
0.92461840323677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89670cl1 |
Quadratic twists by: -7 |