Atkin-Lehner |
2- 3- 5- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42090u |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1250167175954100 = 22 · 318 · 52 · 232 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-686355,-218913075] |
[a1,a2,a3,a4,a6] |
j |
35757747809673216703921/1250167175954100 |
j-invariant |
L |
5.9712569909256 |
L(r)(E,1)/r! |
Ω |
0.16586824974917 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126270l2 |
Quadratic twists by: -3 |