Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488dx |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-1.626479671941E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3604897,-3273088897] |
[a1,a2,a3,a4,a6] |
j |
-1343891598641864/421900912521 |
j-invariant |
L |
4.3134057714405 |
L(r)(E,1)/r! |
Ω |
0.053917572325081 |
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 |
103488t3 51744k2 2112h4 |
Quadratic twists by: -4 8 -7 |