Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840be |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
Δ |
1.6117362432092E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32865447,69900317786] |
[a1,a2,a3,a4,a6] |
Generators |
[4882:-160650:1] |
Generators of the group modulo torsion |
j |
21036566079677026767184/863627530869140625 |
j-invariant |
L |
5.6830358694831 |
L(r)(E,1)/r! |
Ω |
0.10130500232371 |
Real period |
R |
0.46748562419773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85680bv2 14280bg2 |
Quadratic twists by: -4 -3 |