Atkin-Lehner |
3- 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123975bk |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6854400 |
Modular degree for the optimal curve |
Δ |
8.7616749737611E+22 |
Discriminant |
Eigenvalues |
1 3- 5- -1 -3 0 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11163492,-1811653209] |
[a1,a2,a3,a4,a6] |
j |
540301741641858145/307680218557317 |
j-invariant |
L |
1.6074782403501 |
L(r)(E,1)/r! |
Ω |
0.089304281914719 |
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 |
41325p1 123975bb1 |
Quadratic twists by: -3 5 |