Atkin-Lehner |
2- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
62192k |
Isogeny class |
Conductor |
62192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1096704 |
Modular degree for the optimal curve |
Δ |
-1.7820874527123E+19 |
Discriminant |
Eigenvalues |
2- 1 1 -1 -6 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10760,203109076] |
[a1,a2,a3,a4,a6] |
Generators |
[-516:7774:1] [12870:1460224:1] |
Generators of the group modulo torsion |
j |
6967871/901382144 |
j-invariant |
L |
11.651119757863 |
L(r)(E,1)/r! |
Ω |
0.17294849850676 |
Real period |
R |
2.1052365043743 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7774b1 4784c1 |
Quadratic twists by: -4 13 |