Atkin-Lehner |
2- 3- 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774bx |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
3418461978624 = 214 · 38 · 72 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4811,-91429] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:138:1] [-45:202:1] |
Generators of the group modulo torsion |
j |
16889532268393/4689248256 |
j-invariant |
L |
13.952089237038 |
L(r)(E,1)/r! |
Ω |
0.58526570377999 |
Real period |
R |
0.85138920341101 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27258m1 |
Quadratic twists by: -3 |