Atkin-Lehner |
2+ 5+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121030i |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11225088 |
Modular degree for the optimal curve |
Δ |
-2.2462186216499E+20 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- -2 13- 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1899445,-1238563579] |
[a1,a2,a3,a4,a6] |
Generators |
[21945062970:23160792860353:19683] |
Generators of the group modulo torsion |
j |
-6441926550902201241/1909254325706000 |
j-invariant |
L |
9.0579749655035 |
L(r)(E,1)/r! |
Ω |
0.063333080579405 |
Real period |
R |
17.877653515817 |
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 |
17290h1 |
Quadratic twists by: -7 |