Atkin-Lehner |
2- 3- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20130p |
Isogeny class |
Conductor |
20130 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-493465773240 = -1 · 23 · 34 · 5 · 11 · 614 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1649,22001] |
[a1,a2,a3,a4,a6] |
Generators |
[8:185:1] |
Generators of the group modulo torsion |
j |
495871580279951/493465773240 |
j-invariant |
L |
8.8136380909641 |
L(r)(E,1)/r! |
Ω |
0.61342310303177 |
Real period |
R |
2.3946598596748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60390p3 100650a3 |
Quadratic twists by: -3 5 |