Atkin-Lehner |
2+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
120328d |
Isogeny class |
Conductor |
120328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9384960 |
Modular degree for the optimal curve |
Δ |
-1.3626369133468E+21 |
Discriminant |
Eigenvalues |
2+ -1 -1 -1 4 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-202854136,1112118013772] |
[a1,a2,a3,a4,a6] |
Generators |
[65642:24653:8] |
Generators of the group modulo torsion |
j |
-42506484892957946/62742241 |
j-invariant |
L |
4.7251512873585 |
L(r)(E,1)/r! |
Ω |
0.12946253964092 |
Real period |
R |
4.5622765693519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120328j1 |
Quadratic twists by: 13 |