Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200bu |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
40761875000000 = 26 · 510 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11+ -4 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42908,3392938] |
[a1,a2,a3,a4,a6] |
j |
8736724668736/40761875 |
j-invariant |
L |
1.2961195414659 |
L(r)(E,1)/r! |
Ω |
0.64805980534732 |
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 |
123200z1 61600q2 24640d1 |
Quadratic twists by: -4 8 5 |