Atkin-Lehner |
2+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
22496f |
Isogeny class |
Conductor |
22496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-13317632 = -1 · 29 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ 1 2 1 4 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-632,5912] |
[a1,a2,a3,a4,a6] |
Generators |
[14:2:1] |
Generators of the group modulo torsion |
j |
-54612490184/26011 |
j-invariant |
L |
7.593860513423 |
L(r)(E,1)/r! |
Ω |
2.2057728038609 |
Real period |
R |
0.86068026817302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22496c1 44992x1 |
Quadratic twists by: -4 8 |