Atkin-Lehner |
2+ 5- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121030l |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
-956621120 = -1 · 26 · 5 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,142,1348] |
[a1,a2,a3,a4,a6] |
Generators |
[22:112:1] |
Generators of the group modulo torsion |
j |
6528023831/19522880 |
j-invariant |
L |
6.3191795721597 |
L(r)(E,1)/r! |
Ω |
1.1043177497433 |
Real period |
R |
0.71528093798675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000134804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121030b1 |
Quadratic twists by: -7 |