Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488u |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1104287094887251968 = 215 · 312 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1174497,487696833] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:26411:1] [551:2744:1] |
Generators of the group modulo torsion |
j |
46477380430664/286446699 |
j-invariant |
L |
11.082828854727 |
L(r)(E,1)/r! |
Ω |
0.27689883366448 |
Real period |
R |
10.006207599326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488dy4 51744cr3 14784be3 |
Quadratic twists by: -4 8 -7 |