Atkin-Lehner |
2+ 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51850d |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31872 |
Modular degree for the optimal curve |
Δ |
-162031250 = -1 · 2 · 57 · 17 · 61 |
Discriminant |
Eigenvalues |
2+ -1 5+ 5 -5 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-625] |
[a1,a2,a3,a4,a6] |
j |
-117649/10370 |
j-invariant |
L |
1.6062837212497 |
L(r)(E,1)/r! |
Ω |
0.80314186136627 |
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 |
10370e1 |
Quadratic twists by: 5 |