Atkin-Lehner |
2+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
128122c |
Isogeny class |
Conductor |
128122 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
476928 |
Modular degree for the optimal curve |
Δ |
-940292511579328 = -1 · 26 · 29 · 477 |
Discriminant |
Eigenvalues |
2+ -2 -2 -1 1 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1058,-1475184] |
[a1,a2,a3,a4,a6] |
Generators |
[1077:34805:1] |
Generators of the group modulo torsion |
j |
12167/87232 |
j-invariant |
L |
1.9800295997073 |
L(r)(E,1)/r! |
Ω |
0.2295291979239 |
Real period |
R |
2.1566206586838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997962252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2726b1 |
Quadratic twists by: -47 |