Atkin-Lehner |
2- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70642k |
Isogeny class |
Conductor |
70642 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
2483712 |
Modular degree for the optimal curve |
Δ |
8.6524356789247E+19 |
Discriminant |
Eigenvalues |
2- 2 2 -2 11+ 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1588857,626981831] |
[a1,a2,a3,a4,a6] |
Generators |
[12225:15844:27] |
Generators of the group modulo torsion |
j |
91900537277083417/17925788401664 |
j-invariant |
L |
15.919055467797 |
L(r)(E,1)/r! |
Ω |
0.18166902366609 |
Real period |
R |
3.983031425373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5434f1 |
Quadratic twists by: 13 |