Atkin-Lehner |
2- 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230bo |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
182 |
Product of Tamagawa factors cp |
deg |
19699680 |
Modular degree for the optimal curve |
Δ |
-1.3014513021253E+29 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,735392713,-15567554680689] |
[a1,a2,a3,a4,a6] |
j |
60332893035582377081137649111/178525555847085424640000000 |
j-invariant |
L |
3.0705249247528 |
L(r)(E,1)/r! |
Ω |
0.01687101607007 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2470a1 111150bl1 |
Quadratic twists by: -3 5 |