Atkin-Lehner |
2- 3+ 13+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128934bb |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
94208 |
Modular degree for the optimal curve |
Δ |
-1435809024 = -1 · 28 · 33 · 13 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 0 13+ -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-746,8233] |
[a1,a2,a3,a4,a6] |
Generators |
[37:155:1] |
Generators of the group modulo torsion |
j |
-1698363067491/53178112 |
j-invariant |
L |
15.534099412565 |
L(r)(E,1)/r! |
Ω |
1.5086155600583 |
Real period |
R |
0.32177886979102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999336264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128934b1 |
Quadratic twists by: -3 |