Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624bf |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-235248 = -1 · 24 · 3 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -1 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] [0:5:1] |
Generators of the group modulo torsion |
j |
-3328/87 |
j-invariant |
L |
9.2409527774111 |
L(r)(E,1)/r! |
Ω |
2.6228084553854 |
Real period |
R |
1.7616522396634 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999979826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117624c1 |
Quadratic twists by: 13 |