Atkin-Lehner |
3+ 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
17355f |
Isogeny class |
Conductor |
17355 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
-12651795 = -1 · 37 · 5 · 13 · 89 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 -5 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,45,-142] |
[a1,a2,a3,a4,a6] |
j |
9855401984/12651795 |
j-invariant |
L |
1.2011005758601 |
L(r)(E,1)/r! |
Ω |
1.2011005758601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52065i1 86775n1 |
Quadratic twists by: -3 5 |