Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11858i |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
484408626286690952 = 23 · 710 · 118 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30615503,-65194232251] |
[a1,a2,a3,a4,a6] |
Generators |
[-12474702758973747:5917923480988301:3904752237723] |
Generators of the group modulo torsion |
j |
15226621995131793/2324168 |
j-invariant |
L |
2.6109789724831 |
L(r)(E,1)/r! |
Ω |
0.064182142172668 |
Real period |
R |
20.340385067382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94864bz4 106722gt4 1694d4 1078i4 |
Quadratic twists by: -4 -3 -7 -11 |