Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2900d |
Isogeny class |
Conductor |
2900 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-116000000 = -1 · 28 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3 5+ -4 -1 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120775,-16155250] |
[a1,a2,a3,a4,a6] |
j |
-48707390098512/29 |
j-invariant |
L |
3.2012184122299 |
L(r)(E,1)/r! |
Ω |
0.1280487364892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11600x1 46400z1 26100ba1 116a1 |
Quadratic twists by: -4 8 -3 5 |