Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7050t |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
33719931450 = 2 · 315 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-943,-7189] |
[a1,a2,a3,a4,a6] |
Generators |
[-716:3267:64] |
Generators of the group modulo torsion |
j |
3709774959385/1348797258 |
j-invariant |
L |
5.4393291767633 |
L(r)(E,1)/r! |
Ω |
0.88769671483349 |
Real period |
R |
6.1274634521809 |
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 |
56400cl1 21150l1 7050n1 |
Quadratic twists by: -4 -3 5 |