Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4560u |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2334720 = 213 · 3 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48640,-4112768] |
[a1,a2,a3,a4,a6] |
j |
3107086841064961/570 |
j-invariant |
L |
1.2859095165404 |
L(r)(E,1)/r! |
Ω |
0.3214773791351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570m4 18240cm3 13680bh4 22800dk4 |
Quadratic twists by: -4 8 -3 5 |