Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
107800cn |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-41412448000 = -1 · 28 · 53 · 76 · 11 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,572,8448] |
[a1,a2,a3,a4,a6] |
Generators |
[2:98:1] |
Generators of the group modulo torsion |
j |
5488/11 |
j-invariant |
L |
4.5133320632935 |
L(r)(E,1)/r! |
Ω |
0.79105691936402 |
Real period |
R |
0.71318067297182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107800bf1 2200k1 |
Quadratic twists by: 5 -7 |