Atkin-Lehner |
2- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
129712o |
Isogeny class |
Conductor |
129712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6.3905936468136E+19 |
Discriminant |
Eigenvalues |
2- 2 3 -1 11- -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2698824,-1661707408] |
[a1,a2,a3,a4,a6] |
Generators |
[63225936385119780:3200942181526363448:18181073622375] |
Generators of the group modulo torsion |
j |
20462597617/601526 |
j-invariant |
L |
12.833225678346 |
L(r)(E,1)/r! |
Ω |
0.11800123896057 |
Real period |
R |
27.188751981313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16214d2 129712n2 |
Quadratic twists by: -4 -11 |