Atkin-Lehner |
2- 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12390t |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4953163851562500 = -1 · 22 · 32 · 59 · 73 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33051,4097781] |
[a1,a2,a3,a4,a6] |
j |
-3992807253720076849/4953163851562500 |
j-invariant |
L |
4.6891978751069 |
L(r)(E,1)/r! |
Ω |
0.39076648959224 |
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 |
99120bk2 37170o2 61950b2 86730ce2 |
Quadratic twists by: -4 -3 5 -7 |