Atkin-Lehner |
2+ 3- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20862h |
Isogeny class |
Conductor |
20862 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-696741607570896 = -1 · 24 · 312 · 192 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 1 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-341244,-76651808] |
[a1,a2,a3,a4,a6] |
Generators |
[2552:123896:1] |
Generators of the group modulo torsion |
j |
-6028259952047030209/955749804624 |
j-invariant |
L |
4.6556113722129 |
L(r)(E,1)/r! |
Ω |
0.098764100438002 |
Real period |
R |
1.9641125299097 |
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 |
6954j1 |
Quadratic twists by: -3 |