Atkin-Lehner |
2- 3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62244l |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-2142737696709438192 = -1 · 24 · 318 · 72 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 13+ -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-742845,-256297291] |
[a1,a2,a3,a4,a6] |
j |
-3886608666197344000/183705220911303 |
j-invariant |
L |
0.97303818128882 |
L(r)(E,1)/r! |
Ω |
0.081086515371854 |
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 |
20748b1 |
Quadratic twists by: -3 |