Atkin-Lehner |
3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
2385f |
Isogeny class |
Conductor |
2385 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-51509988123046875 = -1 · 311 · 59 · 533 |
Discriminant |
Eigenvalues |
0 3- 5- 2 0 -4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,39318,10499112] |
[a1,a2,a3,a4,a6] |
j |
9220838993985536/70658419921875 |
j-invariant |
L |
1.555713519929 |
L(r)(E,1)/r! |
Ω |
0.25928558665483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
38160cf2 795c2 11925i2 116865r2 |
Quadratic twists by: -4 -3 5 -7 |