Atkin-Lehner |
5- 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23345f |
Isogeny class |
Conductor |
23345 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
71170150625 = 54 · 7 · 23 · 294 |
Discriminant |
Eigenvalues |
-1 0 5- 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1297,-12256] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:83:1] |
Generators of the group modulo torsion |
j |
241118029063521/71170150625 |
j-invariant |
L |
3.2825168342895 |
L(r)(E,1)/r! |
Ω |
0.81365280871809 |
Real period |
R |
1.0085741728899 |
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 |
116725b4 |
Quadratic twists by: 5 |