Atkin-Lehner |
2+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6422b |
Isogeny class |
Conductor |
6422 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4680 |
Modular degree for the optimal curve |
Δ |
-2934699872 = -1 · 25 · 136 · 19 |
Discriminant |
Eigenvalues |
2+ -1 4 -3 -2 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,2605] |
[a1,a2,a3,a4,a6] |
j |
-1/608 |
j-invariant |
L |
1.1360892835308 |
L(r)(E,1)/r! |
Ω |
1.1360892835308 |
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 |
51376o1 57798bu1 38b1 122018bf1 |
Quadratic twists by: -4 -3 13 -19 |