Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bo |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
8328387600 = 24 · 36 · 52 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,169] |
[a1,a2,a3,a4,a6] |
Generators |
[0:13:1] |
Generators of the group modulo torsion |
j |
43264/25 |
j-invariant |
L |
9.4034466286693 |
L(r)(E,1)/r! |
Ω |
1.1108709113398 |
Real period |
R |
1.4108219838762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60840x1 13520c1 121680x1 |
Quadratic twists by: -4 -3 13 |