Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
45968u |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2611026601204842496 = -1 · 216 · 1310 · 172 |
Discriminant |
Eigenvalues |
2- -2 -2 2 2 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,68896,77454196] |
[a1,a2,a3,a4,a6] |
Generators |
[52:9010:1] |
Generators of the group modulo torsion |
j |
1829276567/132066064 |
j-invariant |
L |
3.4588057581672 |
L(r)(E,1)/r! |
Ω |
0.19573216151263 |
Real period |
R |
4.4177790346873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5746j2 3536k2 |
Quadratic twists by: -4 13 |