Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2652a |
Isogeny class |
Conductor |
2652 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2634206904576 = -1 · 28 · 36 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -2 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2636,57304] |
[a1,a2,a3,a4,a6] |
j |
7909612346288/10289870721 |
j-invariant |
L |
1.0898386688375 |
L(r)(E,1)/r! |
Ω |
0.54491933441873 |
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 |
10608u2 42432y2 7956c2 66300bg2 |
Quadratic twists by: -4 8 -3 5 |