Atkin-Lehner |
2+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376d |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
72192 |
Modular degree for the optimal curve |
Δ |
-3811428434944 = -1 · 210 · 134 · 194 |
Discriminant |
Eigenvalues |
2+ 0 -1 4 0 13+ -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18083,-940654] |
[a1,a2,a3,a4,a6] |
j |
-22359484836/130321 |
j-invariant |
L |
1.6462303601746 |
L(r)(E,1)/r! |
Ω |
0.20577879512979 |
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 |
25688a1 51376a1 |
Quadratic twists by: -4 13 |