Atkin-Lehner |
2+ 3- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22134s |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
13331211961368 = 23 · 3 · 76 · 173 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-629086,-192101608] |
[a1,a2,a3,a4,a6] |
j |
27532952187035773857625/13331211961368 |
j-invariant |
L |
2.0342456265397 |
L(r)(E,1)/r! |
Ω |
0.16952046887831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66402bw4 |
Quadratic twists by: -3 |