Atkin-Lehner |
3- 5+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
109395j |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-48956997375 = -1 · 36 · 53 · 11 · 132 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-405,11200] |
[a1,a2,a3,a4,a6] |
j |
-10091699281/67156375 |
j-invariant |
L |
1.9444392554018 |
L(r)(E,1)/r! |
Ω |
0.97221948383995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12155g1 |
Quadratic twists by: -3 |