Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
8118j |
Isogeny class |
Conductor |
8118 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
260392968 = 23 · 38 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15750,764748] |
[a1,a2,a3,a4,a6] |
j |
592725168252001/357192 |
j-invariant |
L |
2.8798680422541 |
L(r)(E,1)/r! |
Ω |
1.439934021127 |
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 |
64944bl2 2706q2 89298cj2 |
Quadratic twists by: -4 -3 -11 |