Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960k |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50462720 |
Modular degree for the optimal curve |
Δ |
-4.9391381553199E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 5 -5 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3595947108,67412970270124] |
[a1,a2,a3,a4,a6] |
Generators |
[6284241000379905614606978659713959:-3282131356912523446385952639898021365:24375095034805540056448633663] |
Generators of the group modulo torsion |
j |
27554726454844416496885738496/26465717996184551883676875 |
j-invariant |
L |
6.8761470016297 |
L(r)(E,1)/r! |
Ω |
0.01595882782477 |
Real period |
R |
53.858490400505 |
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 |
15480i1 123840fh1 10320i1 |
Quadratic twists by: -4 8 -3 |