Atkin-Lehner |
2+ 3- 5- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570s |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4623360 |
Modular degree for the optimal curve |
Δ |
-5.1772723191405E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 6 -3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41724,346211280] |
[a1,a2,a3,a4,a6] |
Generators |
[7539:650814:1] |
Generators of the group modulo torsion |
j |
-11019448230141889/71018824679568000 |
j-invariant |
L |
7.5764188904592 |
L(r)(E,1)/r! |
Ω |
0.16012466783003 |
Real period |
R |
7.8859585148038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999527916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38190bd1 |
Quadratic twists by: -3 |