Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488eg |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-164999119617024 = -1 · 210 · 3 · 79 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11- -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10649,745359] |
[a1,a2,a3,a4,a6] |
j |
-1108671232/1369599 |
j-invariant |
L |
6.2269411291387 |
L(r)(E,1)/r! |
Ω |
0.51891176180055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488fo2 6468e2 14784u2 |
Quadratic twists by: -4 8 -7 |