Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218n |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13537776647497032 = 23 · 32 · 74 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-190716,-31580654] |
[a1,a2,a3,a4,a6] |
j |
5182207647625/91449288 |
j-invariant |
L |
1.8296081688282 |
L(r)(E,1)/r! |
Ω |
0.22870102110352 |
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 |
66654bv2 966e2 |
Quadratic twists by: -3 -23 |