Atkin-Lehner |
2- 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109174i |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1454327938992968 = -1 · 23 · 136 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 0 -4 2 -4 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14397,-1947955] |
[a1,a2,a3,a4,a6] |
Generators |
[253:3122:1] [2654:42271:8] |
Generators of the group modulo torsion |
j |
-68367756969/301302152 |
j-invariant |
L |
13.37330905533 |
L(r)(E,1)/r! |
Ω |
0.1979497079105 |
Real period |
R |
11.259854163686 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
646a2 |
Quadratic twists by: 13 |