Atkin-Lehner |
2+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117208b |
Isogeny class |
Conductor |
117208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
26254592 = 28 · 73 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140,-588] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:7:1] [-6:6:1] |
Generators of the group modulo torsion |
j |
3456000/299 |
j-invariant |
L |
11.29035322535 |
L(r)(E,1)/r! |
Ω |
1.3955862928744 |
Real period |
R |
1.0112553845352 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117208g1 |
Quadratic twists by: -7 |