Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474b |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45964800 |
Modular degree for the optimal curve |
Δ |
-3.8637623112506E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -5 -4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20984682,296760558068] |
[a1,a2,a3,a4,a6] |
Generators |
[18805804:13644067626:24389] |
Generators of the group modulo torsion |
j |
160900419519/6083264512 |
j-invariant |
L |
3.5928966326477 |
L(r)(E,1)/r! |
Ω |
0.048968813766502 |
Real period |
R |
9.1713897929045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84474bg1 84474bl1 |
Quadratic twists by: -3 -19 |