Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200cn |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-33224633707795200 = -1 · 28 · 38 · 52 · 115 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-171993,-28878597] |
[a1,a2,a3,a4,a6] |
Generators |
[2337:-111078:1] |
Generators of the group modulo torsion |
j |
-87918157605882880/5191349016843 |
j-invariant |
L |
9.4145399891558 |
L(r)(E,1)/r! |
Ω |
0.11681738881509 |
Real period |
R |
0.33579975035079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112200p1 |
Quadratic twists by: 5 |