Atkin-Lehner |
2+ 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950j |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-927200000000 = -1 · 211 · 58 · 19 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 -1 5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2349,-14802] |
[a1,a2,a3,a4,a6] |
j |
91794884831/59340800 |
j-invariant |
L |
1.0108517064987 |
L(r)(E,1)/r! |
Ω |
0.50542585355405 |
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 |
11590j1 |
Quadratic twists by: 5 |