Atkin-Lehner |
2- 3- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22878f |
Isogeny class |
Conductor |
22878 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-58350979584 = -1 · 29 · 37 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -3 -3 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,364,-11401] |
[a1,a2,a3,a4,a6] |
Generators |
[81:697:1] |
Generators of the group modulo torsion |
j |
7335308807/80042496 |
j-invariant |
L |
9.9689912547385 |
L(r)(E,1)/r! |
Ω |
0.54798094985356 |
Real period |
R |
0.2526697541372 |
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 |
7626d1 |
Quadratic twists by: -3 |