Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dl |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-8094214128343449600 = -1 · 218 · 39 · 52 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-146523,138573578] |
[a1,a2,a3,a4,a6] |
Generators |
[221:-10816:1] |
Generators of the group modulo torsion |
j |
-24137569/561600 |
j-invariant |
L |
6.6910672167977 |
L(r)(E,1)/r! |
Ω |
0.19569377943004 |
Real period |
R |
1.0684849166407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999485175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210bf1 40560br1 9360cb1 |
Quadratic twists by: -4 -3 13 |