Atkin-Lehner |
2- 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39072p |
Isogeny class |
Conductor |
39072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2035494912 = 212 · 3 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21889,1239215] |
[a1,a2,a3,a4,a6] |
j |
283179211757632/496947 |
j-invariant |
L |
2.5188405233159 |
L(r)(E,1)/r! |
Ω |
1.2594202616451 |
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 |
39072j2 78144bx1 117216h2 |
Quadratic twists by: -4 8 -3 |