Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888o |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1600847654994289152 = 29 · 316 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-974235,365080642] |
[a1,a2,a3,a4,a6] |
Generators |
[-1056438:155122708:6859] |
Generators of the group modulo torsion |
j |
273979082062349000/4288965125049 |
j-invariant |
L |
6.8653323259937 |
L(r)(E,1)/r! |
Ω |
0.26757517710605 |
Real period |
R |
12.828791170188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000272608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129888ba2 43296q2 |
Quadratic twists by: -4 -3 |