Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
19698n |
Isogeny class |
Conductor |
19698 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-4746137604096 = -1 · 212 · 3 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3380,72848] |
[a1,a2,a3,a4,a6] |
Generators |
[4:292:1] |
Generators of the group modulo torsion |
j |
740766719/823296 |
j-invariant |
L |
10.060253743034 |
L(r)(E,1)/r! |
Ω |
0.51272098560968 |
Real period |
R |
0.54503619064815 |
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 |
59094l1 19698l1 |
Quadratic twists by: -3 -7 |