Atkin-Lehner |
2- 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20496u |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
193424523264 = 224 · 33 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4184,-103404] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:30:1] |
Generators of the group modulo torsion |
j |
1978074236377/47222784 |
j-invariant |
L |
4.8668093795475 |
L(r)(E,1)/r! |
Ω |
0.59446280153823 |
Real period |
R |
2.7289677150273 |
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 |
2562c1 81984bq1 61488w1 |
Quadratic twists by: -4 8 -3 |