Atkin-Lehner |
2+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
128122b |
Isogeny class |
Conductor |
128122 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4857600 |
Modular degree for the optimal curve |
Δ |
4.929840803109E+20 |
Discriminant |
Eigenvalues |
2+ 0 1 4 0 1 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3689444,2510690896] |
[a1,a2,a3,a4,a6] |
Generators |
[111563130:6435400279:27000] |
Generators of the group modulo torsion |
j |
515251659466809/45734690816 |
j-invariant |
L |
6.6934870117685 |
L(r)(E,1)/r! |
Ω |
0.16144286918868 |
Real period |
R |
10.365101516602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000147427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2726a1 |
Quadratic twists by: -47 |