Atkin-Lehner |
2- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
51262i |
Isogeny class |
Conductor |
51262 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27000 |
Modular degree for the optimal curve |
Δ |
6680515102 = 2 · 196 · 71 |
Discriminant |
Eigenvalues |
2- 1 -2 -1 -2 3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-549,2963] |
[a1,a2,a3,a4,a6] |
j |
389017/142 |
j-invariant |
L |
1.2199989684884 |
L(r)(E,1)/r! |
Ω |
1.2199989683361 |
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 |
142b1 |
Quadratic twists by: -19 |