Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840z |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.9080867741696E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5686092,-4776901776] |
[a1,a2,a3,a4,a6] |
Generators |
[-1202:17920:1] |
Generators of the group modulo torsion |
j |
3940344055317123/369800000000 |
j-invariant |
L |
7.3465910047517 |
L(r)(E,1)/r! |
Ω |
0.09835612227452 |
Real period |
R |
2.3341808015225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998507328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840ea2 3870a2 123840k2 |
Quadratic twists by: -4 8 -3 |