Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200en |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-8425583712000000000 = -1 · 214 · 310 · 59 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-138208,141094912] |
[a1,a2,a3,a4,a6] |
j |
-36495256013/1053197964 |
j-invariant |
L |
0.77733758843282 |
L(r)(E,1)/r! |
Ω |
0.19433450253966 |
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 |
13650di1 109200hg1 |
Quadratic twists by: -4 5 |