Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120bq |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
251444981760 = 212 · 3 · 5 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4305,107457] |
[a1,a2,a3,a4,a6] |
j |
2154686591296/61387935 |
j-invariant |
L |
1.9628430637398 |
L(r)(E,1)/r! |
Ω |
0.98142153120524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57120cn3 114240in1 |
Quadratic twists by: -4 8 |