Atkin-Lehner |
2- 3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
127794bu |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
220828032 = 27 · 34 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-283,-1711] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:17:1] |
Generators of the group modulo torsion |
j |
6944991625/611712 |
j-invariant |
L |
13.895147949117 |
L(r)(E,1)/r! |
Ω |
1.1705231021771 |
Real period |
R |
0.42396026515832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999823494 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127794a1 |
Quadratic twists by: -19 |