Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81796i |
Isogeny class |
Conductor |
81796 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
215211230216471632 = 24 · 118 · 137 |
Discriminant |
Eigenvalues |
2- -1 0 -4 11- 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1499593,-705966886] |
[a1,a2,a3,a4,a6] |
Generators |
[-719:169:1] |
Generators of the group modulo torsion |
j |
22528000/13 |
j-invariant |
L |
2.9294299517183 |
L(r)(E,1)/r! |
Ω |
0.13643356323419 |
Real period |
R |
1.7892896511884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81796h1 6292i1 |
Quadratic twists by: -11 13 |