Atkin-Lehner |
2- 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432ca |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1270923264 = 214 · 33 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 2 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9809,-370671] |
[a1,a2,a3,a4,a6] |
j |
6371214852688/77571 |
j-invariant |
L |
1.9188896046543 |
L(r)(E,1)/r! |
Ω |
0.47972240114099 |
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 |
42432bg2 10608w2 127296db2 |
Quadratic twists by: -4 8 -3 |