Atkin-Lehner |
3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675o |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1372139163675 = -1 · 38 · 52 · 73 · 293 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 0 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3720,103936] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:391:1] |
Generators of the group modulo torsion |
j |
-312381276160/75288843 |
j-invariant |
L |
4.3394187652303 |
L(r)(E,1)/r! |
Ω |
0.81538953633243 |
Real period |
R |
0.44349137966784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15225a2 45675bl2 |
Quadratic twists by: -3 5 |