Atkin-Lehner |
2- 3- 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
112140n |
Isogeny class |
Conductor |
112140 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
278229584830050000 = 24 · 312 · 55 · 76 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-806592,277665901] |
[a1,a2,a3,a4,a6] |
Generators |
[167:12150:1] |
Generators of the group modulo torsion |
j |
4975513762753675264/23853702403125 |
j-invariant |
L |
5.5905790000755 |
L(r)(E,1)/r! |
Ω |
0.31054414724293 |
Real period |
R |
1.8002525782462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999996913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37380h1 |
Quadratic twists by: -3 |