Atkin-Lehner |
5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111265m |
Isogeny class |
Conductor |
111265 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
127214498228746775 = 52 · 7 · 116 · 177 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-143350,11901357] |
[a1,a2,a3,a4,a6] |
Generators |
[-333:4935:1] |
Generators of the group modulo torsion |
j |
13496571664129/5270393975 |
j-invariant |
L |
2.9134116380905 |
L(r)(E,1)/r! |
Ω |
0.30013675453769 |
Real period |
R |
0.80891226548858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6545c2 |
Quadratic twists by: 17 |