Atkin-Lehner |
2+ 3- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
107640q |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
574658744400 = 24 · 37 · 52 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5682,160769] |
[a1,a2,a3,a4,a6] |
j |
1739321595904/49267725 |
j-invariant |
L |
3.6646594709408 |
L(r)(E,1)/r! |
Ω |
0.91616491957958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35880m1 |
Quadratic twists by: -3 |