Atkin-Lehner |
3- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
112749s |
Isogeny class |
Conductor |
112749 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
-6688157931 = -1 · 34 · 72 · 134 · 59 |
Discriminant |
Eigenvalues |
1 3- 1 7- 0 13- 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-278,4295] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:82:1] |
Generators of the group modulo torsion |
j |
-48240789289/136493019 |
j-invariant |
L |
11.471101928219 |
L(r)(E,1)/r! |
Ω |
1.1744651387503 |
Real period |
R |
0.61044286950992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112749a1 |
Quadratic twists by: -7 |