Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650dc |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
784320 |
Modular degree for the optimal curve |
Δ |
-2944300023808000 = -1 · 219 · 53 · 112 · 135 |
Discriminant |
Eigenvalues |
2- 2 5- 4 11- 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4408,-2614919] |
[a1,a2,a3,a4,a6] |
j |
-626266590653/194664464384 |
j-invariant |
L |
7.6773129413722 |
L(r)(E,1)/r! |
Ω |
0.20203455414726 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650bo1 78650bn1 |
Quadratic twists by: 5 -11 |