Atkin-Lehner |
2- 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115444d |
Isogeny class |
Conductor |
115444 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
7067088 |
Modular degree for the optimal curve |
Δ |
-2.8602902059091E+22 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ -3 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3708059,-7660030566] |
[a1,a2,a3,a4,a6] |
Generators |
[777459054:68865004746:103823] |
Generators of the group modulo torsion |
j |
61130676141817856/310102877565619 |
j-invariant |
L |
9.1128137132719 |
L(r)(E,1)/r! |
Ω |
0.059387295584889 |
Real period |
R |
8.5248439783429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999873227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115444g1 |
Quadratic twists by: -7 |