Atkin-Lehner |
2+ 3- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45240i |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1412298700800 = 211 · 3 · 52 · 13 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41880,3284400] |
[a1,a2,a3,a4,a6] |
j |
3966652437499442/689598975 |
j-invariant |
L |
3.3069632714029 |
L(r)(E,1)/r! |
Ω |
0.82674081778326 |
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 |
90480h4 |
Quadratic twists by: -4 |