Atkin-Lehner |
5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445bg |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3283200 |
Modular degree for the optimal curve |
Δ |
-2.0958848099014E+19 |
Discriminant |
Eigenvalues |
2 0 5- 7+ 5 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3590867,-2628315643] |
[a1,a2,a3,a4,a6] |
Generators |
[6043870:33378577:2744] |
Generators of the group modulo torsion |
j |
-45332315836416/185546875 |
j-invariant |
L |
14.669590891382 |
L(r)(E,1)/r! |
Ω |
0.054823069702832 |
Real period |
R |
13.379030916402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445v1 4655n1 |
Quadratic twists by: -7 -19 |