Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18810s |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-4.6774167640021E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12969698,18011392737] |
[a1,a2,a3,a4,a6] |
Generators |
[1985:8223:1] |
Generators of the group modulo torsion |
j |
-330967800143807423238361/641620955281489920 |
j-invariant |
L |
7.573024207098 |
L(r)(E,1)/r! |
Ω |
0.16654315172312 |
Real period |
R |
0.66870358758857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270e1 94050p1 |
Quadratic twists by: -3 5 |