Atkin-Lehner |
2+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125048n |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
44016896 = 28 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- 11- -5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121,363] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:22:1] [-1:22:1] |
Generators of the group modulo torsion |
j |
15748096/3509 |
j-invariant |
L |
7.4847349590259 |
L(r)(E,1)/r! |
Ω |
1.9102544033249 |
Real period |
R |
0.48977343992975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999959474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125048a1 |
Quadratic twists by: -7 |