Atkin-Lehner |
2+ 3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240j |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-159252791040 = -1 · 28 · 310 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,580,18240] |
[a1,a2,a3,a4,a6] |
j |
84143142704/622081215 |
j-invariant |
L |
1.4910339374022 |
L(r)(E,1)/r! |
Ω |
0.74551697643576 |
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 |
36120s2 |
Quadratic twists by: -4 |