Atkin-Lehner |
2+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
129712b |
Isogeny class |
Conductor |
129712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21677726074673152 = 211 · 119 · 672 |
Discriminant |
Eigenvalues |
2+ 0 0 0 11+ -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86515,-6764142] |
[a1,a2,a3,a4,a6] |
Generators |
[-44058:334369:216] |
Generators of the group modulo torsion |
j |
14829750/4489 |
j-invariant |
L |
5.2691178342713 |
L(r)(E,1)/r! |
Ω |
0.284907835909 |
Real period |
R |
9.247056729209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64856a2 129712a2 |
Quadratic twists by: -4 -11 |