Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120a |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
208733695200000000 = 211 · 36 · 58 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -2 1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151803,5921802] |
[a1,a2,a3,a4,a6] |
j |
259123794463602/139808984375 |
j-invariant |
L |
2.2105211065791 |
L(r)(E,1)/r! |
Ω |
0.27631513831398 |
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 |
25560e1 5680e1 |
Quadratic twists by: -4 -3 |