Atkin-Lehner |
3- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6279h |
Isogeny class |
Conductor |
6279 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
49535031 = 3 · 74 · 13 · 232 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-185,-919] |
[a1,a2,a3,a4,a6] |
Generators |
[3354:-805:216] |
Generators of the group modulo torsion |
j |
694800198793/49535031 |
j-invariant |
L |
6.2298283380379 |
L(r)(E,1)/r! |
Ω |
1.301175822051 |
Real period |
R |
4.7878451416487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464be2 18837a2 43953l2 81627y2 |
Quadratic twists by: -4 -3 -7 13 |