Atkin-Lehner |
2- 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280bh |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-2480421151350000 = -1 · 24 · 312 · 55 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 4 -3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62463,6468887] |
[a1,a2,a3,a4,a6] |
Generators |
[229:2043:1] |
Generators of the group modulo torsion |
j |
-2310706137001216/212656134375 |
j-invariant |
L |
7.2247883988625 |
L(r)(E,1)/r! |
Ω |
0.44744041652442 |
Real period |
R |
4.0367321341735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999568349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38760d1 |
Quadratic twists by: -3 |