Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640ca |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
861696 |
Modular degree for the optimal curve |
Δ |
-11293454773708800 = -1 · 211 · 3 · 52 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-217840,-39394100] |
[a1,a2,a3,a4,a6] |
Generators |
[2985:160930:1] |
Generators of the group modulo torsion |
j |
-2604156962/25725 |
j-invariant |
L |
5.5429559608794 |
L(r)(E,1)/r! |
Ω |
0.11042799105194 |
Real period |
R |
2.78862265733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101640h1 |
Quadratic twists by: -11 |