Atkin-Lehner |
2+ 3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
59826m |
Isogeny class |
Conductor |
59826 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-1592807424 = -1 · 212 · 3 · 133 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 1 13- 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-82,-1948] |
[a1,a2,a3,a4,a6] |
j |
-27270901/724992 |
j-invariant |
L |
2.6062627079524 |
L(r)(E,1)/r! |
Ω |
0.65156567528317 |
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 |
59826v1 |
Quadratic twists by: 13 |