Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
22932z |
Isogeny class |
Conductor |
22932 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-4797216139113216 = -1 · 28 · 36 · 711 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257544,50416884] |
[a1,a2,a3,a4,a6] |
Generators |
[861:21609:1] |
Generators of the group modulo torsion |
j |
-86044336128/218491 |
j-invariant |
L |
4.1837113601993 |
L(r)(E,1)/r! |
Ω |
0.43455278068418 |
Real period |
R |
1.2034531667282 |
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 |
91728gc1 2548j1 3276k1 |
Quadratic twists by: -4 -3 -7 |