Atkin-Lehner |
2- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8428c |
Isogeny class |
Conductor |
8428 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-7465879585921792 = -1 · 28 · 714 · 43 |
Discriminant |
Eigenvalues |
2- -2 4 7- 5 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-217821,39276607] |
[a1,a2,a3,a4,a6] |
j |
-37948686032896/247886443 |
j-invariant |
L |
2.5194868657174 |
L(r)(E,1)/r! |
Ω |
0.41991447761956 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33712l1 75852r1 1204a1 |
Quadratic twists by: -4 -3 -7 |