Atkin-Lehner |
2+ 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
42210j |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
171805252500000000 = 28 · 37 · 510 · 7 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-218790,-33914444] |
[a1,a2,a3,a4,a6] |
j |
1588838318202975841/235672500000000 |
j-invariant |
L |
0.89174851385775 |
L(r)(E,1)/r! |
Ω |
0.22293712843262 |
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 |
14070i2 |
Quadratic twists by: -3 |