Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3542r |
Isogeny class |
Conductor |
3542 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
2690147821103679244 = 22 · 7 · 1115 · 23 |
Discriminant |
Eigenvalues |
2- -1 1 7- 11- -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31502345,-68068456437] |
[a1,a2,a3,a4,a6] |
Generators |
[-10944615:5792722:3375] |
Generators of the group modulo torsion |
j |
3457421777436801623930814481/2690147821103679244 |
j-invariant |
L |
4.5910737728699 |
L(r)(E,1)/r! |
Ω |
0.063725588382928 |
Real period |
R |
2.4014810425822 |
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 |
28336l2 113344bi2 31878k2 88550i2 |
Quadratic twists by: -4 8 -3 5 |