Atkin-Lehner |
2+ 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
19698g |
Isogeny class |
Conductor |
19698 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
246960 |
Modular degree for the optimal curve |
Δ |
-27679474507087872 = -1 · 215 · 37 · 78 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 3 -3 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17029,-8051536] |
[a1,a2,a3,a4,a6] |
j |
-94726211209/4801462272 |
j-invariant |
L |
3.4485296378929 |
L(r)(E,1)/r! |
Ω |
0.16421569704252 |
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 |
59094bq1 19698d1 |
Quadratic twists by: -3 -7 |