Atkin-Lehner |
2+ 3- 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22110i |
Isogeny class |
Conductor |
22110 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
23017824045057600 = 26 · 33 · 52 · 116 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-151433,-21487732] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:1162:1] [-186:595:1] |
Generators of the group modulo torsion |
j |
384044162249786995081/23017824045057600 |
j-invariant |
L |
6.4383834343452 |
L(r)(E,1)/r! |
Ω |
0.24292343917009 |
Real period |
R |
1.4724308605079 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66330bp3 110550be3 |
Quadratic twists by: -3 5 |