Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6468b |
Isogeny class |
Conductor |
6468 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-57755584691659008 = -1 · 28 · 35 · 78 · 115 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,85636,-6404712] |
[a1,a2,a3,a4,a6] |
Generators |
[82:1078:1] |
Generators of the group modulo torsion |
j |
47061251888/39135393 |
j-invariant |
L |
3.0241847421902 |
L(r)(E,1)/r! |
Ω |
0.19477890693901 |
Real period |
R |
0.34502763383432 |
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 |
25872ce1 103488ch1 19404i1 6468r1 |
Quadratic twists by: -4 8 -3 -7 |