Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
90168o |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
84587310602496 = 28 · 34 · 132 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12812,336000] |
[a1,a2,a3,a4,a6] |
Generators |
[928:28080:1] |
Generators of the group modulo torsion |
j |
37642192/13689 |
j-invariant |
L |
8.4350671889001 |
L(r)(E,1)/r! |
Ω |
0.55540668717696 |
Real period |
R |
3.7967976360549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001434 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
312d2 |
Quadratic twists by: 17 |