Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56784ci |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-7.3487160211562E+25 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -5 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,65689568,357910138624] |
[a1,a2,a3,a4,a6] |
j |
721710134999099/1691848015872 |
j-invariant |
L |
0.85510443616393 |
L(r)(E,1)/r! |
Ω |
0.042755221906963 |
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 |
7098z2 56784bs2 |
Quadratic twists by: -4 13 |