Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488fb |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
25312364941248 = 26 · 34 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54308,4883418] |
[a1,a2,a3,a4,a6] |
Generators |
[167:666:1] |
Generators of the group modulo torsion |
j |
6859000000/9801 |
j-invariant |
L |
4.7328740361944 |
L(r)(E,1)/r! |
Ω |
0.66989307652742 |
Real period |
R |
3.532559296264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013131 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488ie1 51744bp2 103488hh1 |
Quadratic twists by: -4 8 -7 |