Atkin-Lehner |
5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74005j |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5515776 |
Modular degree for the optimal curve |
Δ |
1288290297420435125 = 53 · 1910 · 412 |
Discriminant |
Eigenvalues |
-2 -2 5+ -2 5 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26889566,53660047026] |
[a1,a2,a3,a4,a6] |
Generators |
[2919:7031:1] |
Generators of the group modulo torsion |
j |
350702689890304/210125 |
j-invariant |
L |
1.9042809882368 |
L(r)(E,1)/r! |
Ω |
0.22407132216849 |
Real period |
R |
4.2492742185982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74005b1 |
Quadratic twists by: -19 |