Atkin-Lehner |
2+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6422a |
Isogeny class |
Conductor |
6422 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-31360813249765376 = -1 · 213 · 139 · 192 |
Discriminant |
Eigenvalues |
2+ -1 1 3 4 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-169172,28034128] |
[a1,a2,a3,a4,a6] |
j |
-110931033861649/6497214464 |
j-invariant |
L |
1.4618026318462 |
L(r)(E,1)/r! |
Ω |
0.36545065796154 |
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 |
51376m1 57798bl1 494d1 122018be1 |
Quadratic twists by: -4 -3 13 -19 |