Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114660d |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-22014720 = -1 · 28 · 33 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168,868] |
[a1,a2,a3,a4,a6] |
Generators |
[8:6:1] |
Generators of the group modulo torsion |
j |
-1548288/65 |
j-invariant |
L |
6.7257090797338 |
L(r)(E,1)/r! |
Ω |
2.1282463101567 |
Real period |
R |
0.52670196376776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114660k1 114660i1 |
Quadratic twists by: -3 -7 |