Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
19698l |
Isogeny class |
Conductor |
19698 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-40341504 = -1 · 212 · 3 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,69,-183] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
740766719/823296 |
j-invariant |
L |
6.0741699402306 |
L(r)(E,1)/r! |
Ω |
1.101201992192 |
Real period |
R |
0.45966210735322 |
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 |
59094q1 19698n1 |
Quadratic twists by: -3 -7 |