Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dv |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-213206722560000000 = -1 · 217 · 36 · 57 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-126243,28135458] |
[a1,a2,a3,a4,a6] |
Generators |
[273:3744:1] |
Generators of the group modulo torsion |
j |
-2609064081/2500000 |
j-invariant |
L |
7.0150769844295 |
L(r)(E,1)/r! |
Ω |
0.28804586478071 |
Real period |
R |
1.0147511495698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210l1 13520w1 121680ff1 |
Quadratic twists by: -4 -3 13 |