Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
107800bp |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-1374992663475200 = -1 · 210 · 52 · 79 · 113 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ 2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-170928,27201488] |
[a1,a2,a3,a4,a6] |
Generators |
[2186:7889:8] |
Generators of the group modulo torsion |
j |
-534617980/1331 |
j-invariant |
L |
6.839544489241 |
L(r)(E,1)/r! |
Ω |
0.48218870402592 |
Real period |
R |
3.5460932603198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107800bc1 107800bq1 |
Quadratic twists by: 5 -7 |