Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200a |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1287957892320000000 = 211 · 316 · 57 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1052008,412060012] |
[a1,a2,a3,a4,a6] |
Generators |
[3137:167250:1] |
Generators of the group modulo torsion |
j |
4023752633231042/40248684135 |
j-invariant |
L |
3.5141985669674 |
L(r)(E,1)/r! |
Ω |
0.27313025160163 |
Real period |
R |
6.4331917487518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440x3 |
Quadratic twists by: 5 |