Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360cd |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1968739495430400 = 28 · 32 · 52 · 710 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49996,-3752596] |
[a1,a2,a3,a4,a6] |
j |
458891455696/65367225 |
j-invariant |
L |
1.2892140225221 |
L(r)(E,1)/r! |
Ω |
0.3223040486879 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64680b2 18480l2 |
Quadratic twists by: -4 -7 |