Atkin-Lehner |
2- 3- 7+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
41118u |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1660641753078 = 2 · 34 · 76 · 11 · 892 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8868,-316134] |
[a1,a2,a3,a4,a6] |
Generators |
[966:4431:8] |
Generators of the group modulo torsion |
j |
77126536005954625/1660641753078 |
j-invariant |
L |
10.743733522968 |
L(r)(E,1)/r! |
Ω |
0.49261966420812 |
Real period |
R |
5.4523470658821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123354j2 |
Quadratic twists by: -3 |