Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650ed |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
13910206464000 = 214 · 36 · 53 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6815,122887] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:-394:1] |
Generators of the group modulo torsion |
j |
384082046109/152649728 |
j-invariant |
L |
9.0636981816141 |
L(r)(E,1)/r! |
Ω |
0.64084491976873 |
Real period |
R |
0.16837329204025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3850h1 34650cg1 |
Quadratic twists by: -3 5 |