Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dz |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-31131592801320960 = -1 · 216 · 39 · 5 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35997,8071778] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:2176:1] |
Generators of the group modulo torsion |
j |
357911/2160 |
j-invariant |
L |
3.9339291905919 |
L(r)(E,1)/r! |
Ω |
0.26837064320126 |
Real period |
R |
3.6646419292056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998576971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210n1 40560bv1 720j1 |
Quadratic twists by: -4 -3 13 |