Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
84280k |
Isogeny class |
Conductor |
84280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6624 |
Modular degree for the optimal curve |
Δ |
-168560 = -1 · 24 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 3 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7,-21] |
[a1,a2,a3,a4,a6] |
Generators |
[15:57:1] |
Generators of the group modulo torsion |
j |
-48384/215 |
j-invariant |
L |
6.6194668791269 |
L(r)(E,1)/r! |
Ω |
1.3325219286439 |
Real period |
R |
2.4838116101275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84280b1 |
Quadratic twists by: -7 |