Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160ch |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
786258000 = 24 · 32 · 53 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-305,-1650] |
[a1,a2,a3,a4,a6] |
Generators |
[70:570:1] |
Generators of the group modulo torsion |
j |
196755275776/49141125 |
j-invariant |
L |
8.9790442975138 |
L(r)(E,1)/r! |
Ω |
1.1630238212775 |
Real period |
R |
1.2867383758908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12540f1 |
Quadratic twists by: -4 |