Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47320bb |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-246064000000 = -1 · 210 · 56 · 7 · 133 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -2 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1400,13248] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:40:1] [16:200:1] |
Generators of the group modulo torsion |
j |
134793068/109375 |
j-invariant |
L |
6.9540017489368 |
L(r)(E,1)/r! |
Ω |
0.63690320668833 |
Real period |
R |
1.8197432189356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640bj2 47320k2 |
Quadratic twists by: -4 13 |