Atkin-Lehner |
2+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23998a |
Isogeny class |
Conductor |
23998 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5712 |
Modular degree for the optimal curve |
Δ |
4055662 = 2 · 134 · 71 |
Discriminant |
Eigenvalues |
2+ 1 0 -1 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-511,4396] |
[a1,a2,a3,a4,a6] |
Generators |
[-2982:21715:216] |
Generators of the group modulo torsion |
j |
515217625/142 |
j-invariant |
L |
4.239623535903 |
L(r)(E,1)/r! |
Ω |
2.4144456196001 |
Real period |
R |
5.2678223541086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
23998k1 |
Quadratic twists by: 13 |