Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210cc |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-16160381730671040 = -1 · 26 · 39 · 5 · 376 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 6 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-94718,-12755123] |
[a1,a2,a3,a4,a6] |
j |
-1860867/320 |
j-invariant |
L |
7.2793957388766 |
L(r)(E,1)/r! |
Ω |
0.13480362795254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123210m1 90a3 |
Quadratic twists by: -3 37 |