Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45080u |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
484902118400 = 210 · 52 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,-3940] |
[a1,a2,a3,a4,a6] |
Generators |
[3526:209328:1] |
Generators of the group modulo torsion |
j |
7086244/4025 |
j-invariant |
L |
8.0243841290742 |
L(r)(E,1)/r! |
Ω |
0.77333239764055 |
Real period |
R |
5.1881856712329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90160t1 6440h1 |
Quadratic twists by: -4 -7 |