Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320cf |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-2.440692E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 5 -6 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3319347,2339804914] |
[a1,a2,a3,a4,a6] |
Generators |
[2393:90000:1] |
Generators of the group modulo torsion |
j |
-1354547383894636849/8173828125000 |
j-invariant |
L |
5.1084885068856 |
L(r)(E,1)/r! |
Ω |
0.21394154754529 |
Real period |
R |
0.22959580483814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2790j1 89280eu1 7440w1 111600fh1 |
Quadratic twists by: -4 8 -3 5 |