Atkin-Lehner |
5- 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23345f |
Isogeny class |
Conductor |
23345 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
23345 = 5 · 7 · 23 · 29 |
Discriminant |
Eigenvalues |
-1 0 5- 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-487,4254] |
[a1,a2,a3,a4,a6] |
Generators |
[426:256:27] |
Generators of the group modulo torsion |
j |
12748946194881/23345 |
j-invariant |
L |
3.2825168342895 |
L(r)(E,1)/r! |
Ω |
3.2546112348723 |
Real period |
R |
4.0342966915596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116725b1 |
Quadratic twists by: 5 |