Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bj |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
286133112901445238 = 2 · 32 · 117 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2382735,1415236084] |
[a1,a2,a3,a4,a6] |
Generators |
[-7188:1220296:27] |
Generators of the group modulo torsion |
j |
174958262857/33462 |
j-invariant |
L |
9.423205179605 |
L(r)(E,1)/r! |
Ω |
0.29917973967121 |
Real period |
R |
3.9371003424666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999315057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154bd2 9438bc2 |
Quadratic twists by: -11 13 |