Atkin-Lehner |
2+ 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488o |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7637112773611776 = 28 · 310 · 72 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71319,-6005270] |
[a1,a2,a3,a4,a6] |
Generators |
[770:19890:1] |
Generators of the group modulo torsion |
j |
214967078254672/40922457849 |
j-invariant |
L |
8.9997035372789 |
L(r)(E,1)/r! |
Ω |
0.29600251470193 |
Real period |
R |
3.8005181802671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032271 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41496bb2 |
Quadratic twists by: -3 |