Atkin-Lehner |
2- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
78416u |
Isogeny class |
Conductor |
78416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11239907923738624 = -1 · 214 · 138 · 292 |
Discriminant |
Eigenvalues |
2- 2 2 2 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36448,4328960] |
[a1,a2,a3,a4,a6] |
Generators |
[141326826:4361055985:1481544] |
Generators of the group modulo torsion |
j |
270840023/568516 |
j-invariant |
L |
12.69203110751 |
L(r)(E,1)/r! |
Ω |
0.27956209118676 |
Real period |
R |
11.349921455279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9802g2 6032h2 |
Quadratic twists by: -4 13 |