Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ds |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7881473981939712 = 224 · 3 · 76 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-252513,48568575] |
[a1,a2,a3,a4,a6] |
j |
57736239625/255552 |
j-invariant |
L |
2.5072101673712 |
L(r)(E,1)/r! |
Ω |
0.41786834435565 |
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 |
103488ff3 3234b3 2112e3 |
Quadratic twists by: -4 8 -7 |