Atkin-Lehner |
2- 3+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576bn |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-13809616128 = -1 · 28 · 36 · 7 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,132,5580] |
[a1,a2,a3,a4,a6] |
Generators |
[-2946:7021:216] |
Generators of the group modulo torsion |
j |
986078000/53943813 |
j-invariant |
L |
6.6249248602627 |
L(r)(E,1)/r! |
Ω |
0.95430006710397 |
Real period |
R |
6.9421821049297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28644k2 |
Quadratic twists by: -4 |