Atkin-Lehner |
2- 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
15470n |
Isogeny class |
Conductor |
15470 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
2.1330774875242E+21 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6532047,-6027649129] |
[a1,a2,a3,a4,a6] |
Generators |
[-1489:20634:1] |
Generators of the group modulo torsion |
j |
30822761984985495827731521/2133077487524223385600 |
j-invariant |
L |
7.3433230686324 |
L(r)(E,1)/r! |
Ω |
0.094847347341469 |
Real period |
R |
1.9355636384313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123760bv2 77350j2 108290y2 |
Quadratic twists by: -4 5 -7 |