Atkin-Lehner |
2- 5- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121030bd |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
3760128 |
Modular degree for the optimal curve |
Δ |
-21662896726016000 = -1 · 216 · 53 · 77 · 132 · 19 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -2 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-910062,334462461] |
[a1,a2,a3,a4,a6] |
Generators |
[601:1779:1] [-999:16179:1] |
Generators of the group modulo torsion |
j |
-708513233714363169/184131584000 |
j-invariant |
L |
11.833748624079 |
L(r)(E,1)/r! |
Ω |
0.37302393622621 |
Real period |
R |
0.082614145447633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999953593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17290j1 |
Quadratic twists by: -7 |