Atkin-Lehner |
2+ 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107822i |
Isogeny class |
Conductor |
107822 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-6549169140774832 = -1 · 24 · 113 · 139 · 29 |
Discriminant |
Eigenvalues |
2+ 2 2 -1 11- 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4059,-3896563] |
[a1,a2,a3,a4,a6] |
j |
-1532808577/1356832048 |
j-invariant |
L |
2.284484318649 |
L(r)(E,1)/r! |
Ω |
0.19037369034244 |
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 |
8294c1 |
Quadratic twists by: 13 |