Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488bc |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
25714148511744 = 212 · 32 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30249,-2000151] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:120:1] [-96:99:1] |
Generators of the group modulo torsion |
j |
6352182208/53361 |
j-invariant |
L |
8.3411285440038 |
L(r)(E,1)/r! |
Ω |
0.36219351616834 |
Real period |
R |
5.7573701418965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002037 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103488ea2 51744cm1 14784w2 |
Quadratic twists by: -4 8 -7 |