Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840v |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2.45939085E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-741747,59405614] |
[a1,a2,a3,a4,a6] |
Generators |
[-682:15750:1] |
Generators of the group modulo torsion |
j |
30229685362358498/16472900390625 |
j-invariant |
L |
6.2310443568878 |
L(r)(E,1)/r! |
Ω |
0.18525782833541 |
Real period |
R |
1.4014352350787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680ca3 14280bv3 |
Quadratic twists by: -4 -3 |