Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
111012h |
Isogeny class |
Conductor |
111012 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4044360183736663296 = -1 · 28 · 32 · 112 · 299 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-138204,98711316] |
[a1,a2,a3,a4,a6] |
Generators |
[-42430242558:825312331701:96071912] |
Generators of the group modulo torsion |
j |
-78608/1089 |
j-invariant |
L |
7.2270922276221 |
L(r)(E,1)/r! |
Ω |
0.20936780592409 |
Real period |
R |
17.259320714052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111012b2 |
Quadratic twists by: 29 |