Atkin-Lehner |
2- 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129948w |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
8055936 |
Modular degree for the optimal curve |
Δ |
2.1354325026536E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 3 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6990797,-1090152225] |
[a1,a2,a3,a4,a6] |
Generators |
[-7222:535815:8] |
Generators of the group modulo torsion |
j |
25602334203486208/14469767843661 |
j-invariant |
L |
11.224101097498 |
L(r)(E,1)/r! |
Ω |
0.10007919614772 |
Real period |
R |
2.0768923983874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000111223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129948u1 |
Quadratic twists by: -7 |