Atkin-Lehner |
2+ 3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560m |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
25656251040000 = 28 · 36 · 54 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7796,-106596] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:168:1] |
Generators of the group modulo torsion |
j |
204717488205904/100219730625 |
j-invariant |
L |
8.9523812461408 |
L(r)(E,1)/r! |
Ω |
0.53393206732534 |
Real period |
R |
2.7944819815906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965778 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56280o2 |
Quadratic twists by: -4 |