Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312cg |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4456521531392 = 217 · 76 · 172 |
Discriminant |
Eigenvalues |
2- -2 0 7- 2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9473,336895] |
[a1,a2,a3,a4,a6] |
Generators |
[31:272:1] [-54:833:1] |
Generators of the group modulo torsion |
j |
6097250/289 |
j-invariant |
L |
6.9582156572204 |
L(r)(E,1)/r! |
Ω |
0.76630791636695 |
Real period |
R |
1.1350228003334 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312x2 13328e2 1088g2 |
Quadratic twists by: -4 8 -7 |