Atkin-Lehner |
2+ 3- 13+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128934k |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-1140841219454816256 = -1 · 212 · 313 · 13 · 19 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 -4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,74331,50775061] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:2003:1] [-265:3656:1] |
Generators of the group modulo torsion |
j |
62302119852130991/1564939944382464 |
j-invariant |
L |
9.1557238867939 |
L(r)(E,1)/r! |
Ω |
0.20615347377164 |
Real period |
R |
1.3878804277954 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42978i1 |
Quadratic twists by: -3 |