Atkin-Lehner |
2- 3- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22620j |
Isogeny class |
Conductor |
22620 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
5702400 |
Modular degree for the optimal curve |
Δ |
-1.4442986211849E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111429165,-456451966737] |
[a1,a2,a3,a4,a6] |
Generators |
[13581:731670:1] |
Generators of the group modulo torsion |
j |
-597696040869577536732798976/5641791489003680404875 |
j-invariant |
L |
5.8346545570608 |
L(r)(E,1)/r! |
Ω |
0.023220701295735 |
Real period |
R |
0.6979708994659 |
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 |
90480bh1 67860g1 113100k1 |
Quadratic twists by: -4 -3 5 |