Atkin-Lehner |
2+ 3+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20862b |
Isogeny class |
Conductor |
20862 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
5699864236032 = 212 · 39 · 19 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -2 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39192,2993984] |
[a1,a2,a3,a4,a6] |
j |
338244646921875/289583104 |
j-invariant |
L |
1.5089496965375 |
L(r)(E,1)/r! |
Ω |
0.75447484826877 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20862q1 |
Quadratic twists by: -3 |