Atkin-Lehner |
2+ 3- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838bg |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
12138091056 = 24 · 35 · 72 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -5 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-579,718] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:84:1] |
Generators of the group modulo torsion |
j |
437003224441/247716144 |
j-invariant |
L |
4.3957968774979 |
L(r)(E,1)/r! |
Ω |
1.0911536853001 |
Real period |
R |
0.13428590767887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999683062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110838a1 |
Quadratic twists by: -7 |