Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45080bc |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
128832 |
Modular degree for the optimal curve |
Δ |
-690287500000000 = -1 · 28 · 511 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9212,-1309084] |
[a1,a2,a3,a4,a6] |
Generators |
[352:-6250:1] |
Generators of the group modulo torsion |
j |
-140654416896/1123046875 |
j-invariant |
L |
4.6251399227609 |
L(r)(E,1)/r! |
Ω |
0.214698534845 |
Real period |
R |
0.97920385439346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90160z1 45080s1 |
Quadratic twists by: -4 -7 |