Atkin-Lehner |
2+ 3+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
101808a |
Isogeny class |
Conductor |
101808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39680 |
Modular degree for the optimal curve |
Δ |
19547136 = 210 · 33 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-699,-7110] |
[a1,a2,a3,a4,a6] |
Generators |
[85:740:1] |
Generators of the group modulo torsion |
j |
1366128396/707 |
j-invariant |
L |
6.6260982268947 |
L(r)(E,1)/r! |
Ω |
0.92852531896592 |
Real period |
R |
3.5680762261287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50904a1 101808b1 |
Quadratic twists by: -4 -3 |