Atkin-Lehner |
2- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
6320f |
Isogeny class |
Conductor |
6320 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-2528000 = -1 · 28 · 53 · 79 |
Discriminant |
Eigenvalues |
2- -3 5- -3 5 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8,76] |
[a1,a2,a3,a4,a6] |
Generators |
[2:10:1] |
Generators of the group modulo torsion |
j |
221184/9875 |
j-invariant |
L |
2.4634104171833 |
L(r)(E,1)/r! |
Ω |
1.9488777222848 |
Real period |
R |
0.21066914469243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1580b1 25280p1 56880ba1 31600i1 |
Quadratic twists by: -4 8 -3 5 |