Atkin-Lehner |
7- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119119f |
Isogeny class |
Conductor |
119119 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4811688193545233 = -1 · 712 · 112 · 132 · 17 |
Discriminant |
Eigenvalues |
1 0 -2 7- 11- 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45628,5032509] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:1735:1] |
Generators of the group modulo torsion |
j |
-89296641396873/40898674817 |
j-invariant |
L |
4.5182958194923 |
L(r)(E,1)/r! |
Ω |
0.40484382921859 |
Real period |
R |
2.7901474113578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999360347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17017c2 |
Quadratic twists by: -7 |