Atkin-Lehner |
2- 3+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560bf |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8981376045318432000 = -1 · 28 · 312 · 53 · 76 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5583716,-5078658084] |
[a1,a2,a3,a4,a6] |
j |
-75206224644465874575184/35083500177025125 |
j-invariant |
L |
2.4552551850444 |
L(r)(E,1)/r! |
Ω |
0.049105096634874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28140p2 |
Quadratic twists by: -4 |