Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320u |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1669248 |
Modular degree for the optimal curve |
Δ |
8.2853022427298E+20 |
Discriminant |
Eigenvalues |
2- 0 5- 2 3 -6 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8954912,10220912684] |
[a1,a2,a3,a4,a6] |
j |
7488405504/78125 |
j-invariant |
L |
2.2304607580284 |
L(r)(E,1)/r! |
Ω |
0.15931862557174 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10580h1 42320j1 |
Quadratic twists by: -4 -23 |