Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17784c |
Isogeny class |
Conductor |
17784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
3232292186448 = 24 · 316 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 6 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13350,587369] |
[a1,a2,a3,a4,a6] |
j |
22559008000000/277116957 |
j-invariant |
L |
3.1969312877546 |
L(r)(E,1)/r! |
Ω |
0.79923282193864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35568l1 5928j1 |
Quadratic twists by: -4 -3 |