Atkin-Lehner |
2- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59696u |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
4598899508569440256 = 225 · 7 · 132 · 415 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 6 13- -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4514216,3691722352] |
[a1,a2,a3,a4,a6] |
j |
2483767085282493185449/1122778200334336 |
j-invariant |
L |
1.9266403249861 |
L(r)(E,1)/r! |
Ω |
0.24083004025292 |
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 |
7462c1 |
Quadratic twists by: -4 |