Atkin-Lehner |
2- 3+ 7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
37842p |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5171831552412 = 22 · 34 · 7 · 172 · 534 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43684,-3530743] |
[a1,a2,a3,a4,a6] |
j |
9219163746536041537/5171831552412 |
j-invariant |
L |
2.6419434259892 |
L(r)(E,1)/r! |
Ω |
0.33024292825004 |
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 |
113526o4 |
Quadratic twists by: -3 |