Atkin-Lehner |
2+ 3- 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270bm |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
95626028282400 = 25 · 34 · 52 · 72 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-140918,20343656] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:6472:1] |
Generators of the group modulo torsion |
j |
309470099236718920921/95626028282400 |
j-invariant |
L |
5.9966421405845 |
L(r)(E,1)/r! |
Ω |
0.58786735883477 |
Real period |
R |
0.42502800238179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810cz2 |
Quadratic twists by: -3 |