Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680s |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
56056627200 = 214 · 3 · 52 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2161,-36239] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:35:1] |
Generators of the group modulo torsion |
j |
68150496976/3421425 |
j-invariant |
L |
5.7583244099584 |
L(r)(E,1)/r! |
Ω |
0.70237815266273 |
Real period |
R |
1.0247906438399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998882799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680ez1 15960k1 |
Quadratic twists by: -4 8 |