Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8360m |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-2942720 = -1 · 28 · 5 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11- 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17,-78] |
[a1,a2,a3,a4,a6] |
j |
2122416/11495 |
j-invariant |
L |
2.5476619116439 |
L(r)(E,1)/r! |
Ω |
1.273830955822 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16720b1 66880u1 75240v1 41800f1 |
Quadratic twists by: -4 8 -3 5 |