Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
6450bd |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-42517089843750 = -1 · 2 · 34 · 514 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8537,-75469] |
[a1,a2,a3,a4,a6] |
Generators |
[2662:49101:8] |
Generators of the group modulo torsion |
j |
4403686064471/2721093750 |
j-invariant |
L |
4.6252878973901 |
L(r)(E,1)/r! |
Ω |
0.37107929601943 |
Real period |
R |
6.232209593752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51600cx3 19350ba4 1290d4 |
Quadratic twists by: -4 -3 5 |