Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510dh |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
4.1696567016914E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-67066628,211189737287] |
[a1,a2,a3,a4,a6] |
Generators |
[-2133:588037:1] |
Generators of the group modulo torsion |
j |
388980071198593573609/486165942108000 |
j-invariant |
L |
8.9973458420375 |
L(r)(E,1)/r! |
Ω |
0.11412870953638 |
Real period |
R |
0.49271924427468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170z3 6930bg3 |
Quadratic twists by: -3 -7 |