Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190br |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
267748500113640 = 23 · 314 · 5 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-96647,11561879] |
[a1,a2,a3,a4,a6] |
Generators |
[229:1068:1] |
Generators of the group modulo torsion |
j |
136948444639063849/367281893160 |
j-invariant |
L |
6.8624878205282 |
L(r)(E,1)/r! |
Ω |
0.55286308161395 |
Real period |
R |
1.0343862776559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520dk4 2730m3 40950bb4 57330ef4 |
Quadratic twists by: -4 -3 5 -7 |