Atkin-Lehner |
2+ 3+ 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560i |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
217120811040000 = 28 · 310 · 54 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120540,-16052400] |
[a1,a2,a3,a4,a6] |
Generators |
[-147600:80740:729] |
Generators of the group modulo torsion |
j |
756625390586976976/848128168125 |
j-invariant |
L |
7.0275298692733 |
L(r)(E,1)/r! |
Ω |
0.25623926939089 |
Real period |
R |
6.8564138207167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56280ba2 |
Quadratic twists by: -4 |