Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
26950by |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
49541258593750 = 2 · 58 · 78 · 11 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- 3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22688,-1280469] |
[a1,a2,a3,a4,a6] |
Generators |
[-5580:16233:64] |
Generators of the group modulo torsion |
j |
14338681/550 |
j-invariant |
L |
6.9720265174873 |
L(r)(E,1)/r! |
Ω |
0.38991963986579 |
Real period |
R |
2.9801125687877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390n1 26950cs1 |
Quadratic twists by: 5 -7 |