Atkin-Lehner |
3- 5+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31395l |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-2860979748046875 = -1 · 33 · 59 · 73 · 13 · 233 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,29869,1645481] |
[a1,a2,a3,a4,a6] |
j |
2946939504873537536/2860979748046875 |
j-invariant |
L |
2.6756631792287 |
L(r)(E,1)/r! |
Ω |
0.29729590880381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94185bi2 |
Quadratic twists by: -3 |