Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488bb |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12191655065812992 = 218 · 33 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-459489,-119613087] |
[a1,a2,a3,a4,a6] |
j |
347873904937/395307 |
j-invariant |
L |
1.4670685481571 |
L(r)(E,1)/r! |
Ω |
0.18338352992765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488iu4 1617j3 2112l3 |
Quadratic twists by: -4 8 -7 |