Atkin-Lehner |
2+ 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17346a |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-112844734377984 = -1 · 212 · 34 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 4 2 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-102778,12649876] |
[a1,a2,a3,a4,a6] |
Generators |
[196:190:1] |
Generators of the group modulo torsion |
j |
-20827947839209/19574784 |
j-invariant |
L |
2.9970531449792 |
L(r)(E,1)/r! |
Ω |
0.58891786696124 |
Real period |
R |
1.2722712763172 |
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 |
52038z1 17346p1 |
Quadratic twists by: -3 -7 |