Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840bf |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5901901885440 = 212 · 39 · 5 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7932,245504] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:540:1] |
Generators of the group modulo torsion |
j |
18483505984/1976535 |
j-invariant |
L |
5.369663836579 |
L(r)(E,1)/r! |
Ω |
0.73432464451211 |
Real period |
R |
1.8280960188074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15840bc2 31680ch1 5280a2 79200bj3 |
Quadratic twists by: -4 8 -3 5 |