Atkin-Lehner |
2- 3- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22386bb |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
2106 |
Product of Tamagawa factors cp |
deg |
3133728 |
Modular degree for the optimal curve |
Δ |
-8.1108488685751E+22 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33420517,-75619489279] |
[a1,a2,a3,a4,a6] |
Generators |
[7010:182471:1] |
Generators of the group modulo torsion |
j |
-4128223528775369483123266513/81108488685750967074816 |
j-invariant |
L |
8.5273077068434 |
L(r)(E,1)/r! |
Ω |
0.031358880890576 |
Real period |
R |
1.1620786485921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67158y1 |
Quadratic twists by: -3 |