Atkin-Lehner |
2+ 3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560s |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
197964900000000 = 28 · 32 · 58 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1172500,-489062500] |
[a1,a2,a3,a4,a6] |
Generators |
[58910:14295960:1] |
Generators of the group modulo torsion |
j |
696342129644868840016/773300390625 |
j-invariant |
L |
9.6842426574889 |
L(r)(E,1)/r! |
Ω |
0.14508460774753 |
Real period |
R |
8.3436165534199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999780048 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56280t2 |
Quadratic twists by: -4 |