Atkin-Lehner |
2+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51262b |
Isogeny class |
Conductor |
51262 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
243000 |
Modular degree for the optimal curve |
Δ |
1710211866112 = 29 · 196 · 71 |
Discriminant |
Eigenvalues |
2+ 3 -4 -3 0 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4219,-83611] |
[a1,a2,a3,a4,a6] |
j |
176558481/36352 |
j-invariant |
L |
0.60094771561026 |
L(r)(E,1)/r! |
Ω |
0.60094771882755 |
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 |
142a1 |
Quadratic twists by: -19 |