Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222j |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1303040304239652 = 22 · 38 · 112 · 177 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1027249398,12672746802144] |
[a1,a2,a3,a4,a6] |
j |
6812873765474836663297/74052 |
j-invariant |
L |
0.66313106024388 |
L(r)(E,1)/r! |
Ω |
0.1657827653254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074bg5 3366h5 |
Quadratic twists by: -3 17 |