Atkin-Lehner |
2- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9112c |
Isogeny class |
Conductor |
9112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-1308920576 = -1 · 28 · 17 · 673 |
Discriminant |
Eigenvalues |
2- 1 -2 4 3 -4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-289,-2669] |
[a1,a2,a3,a4,a6] |
Generators |
[165:2114:1] |
Generators of the group modulo torsion |
j |
-10463552512/5112971 |
j-invariant |
L |
5.0633126295425 |
L(r)(E,1)/r! |
Ω |
0.56562564862349 |
Real period |
R |
4.4758513354766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18224c1 72896i1 82008f1 |
Quadratic twists by: -4 8 -3 |