Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129948c |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4064256 |
Modular degree for the optimal curve |
Δ |
1.5241508298433E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -4 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4113370,-3204163871] |
[a1,a2,a3,a4,a6] |
Generators |
[527592:73334429:27] |
Generators of the group modulo torsion |
j |
11921058078677248/23606174007 |
j-invariant |
L |
5.5691980450954 |
L(r)(E,1)/r! |
Ω |
0.10602340951315 |
Real period |
R |
8.7546673608592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999076789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129948bj1 |
Quadratic twists by: -7 |