Atkin-Lehner |
2- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23998i |
Isogeny class |
Conductor |
23998 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-1535872 = -1 · 27 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 2 0 2 5 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23,-83] |
[a1,a2,a3,a4,a6] |
j |
-7983625/9088 |
j-invariant |
L |
7.3053096894401 |
L(r)(E,1)/r! |
Ω |
1.04361566992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23998f1 |
Quadratic twists by: 13 |