Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488eo |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4198228328448 = -1 · 215 · 32 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,98559] |
[a1,a2,a3,a4,a6] |
j |
-8/1089 |
j-invariant |
L |
2.483406683856 |
L(r)(E,1)/r! |
Ω |
0.62085172491166 |
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 |
103488bk2 51744m2 2112i2 |
Quadratic twists by: -4 8 -7 |