Atkin-Lehner |
2- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782bc |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-2071371980367872 = -1 · 211 · 77 · 134 · 43 |
Discriminant |
Eigenvalues |
2- 1 2 7- 5 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32782,-3167228] |
[a1,a2,a3,a4,a6] |
j |
-33116363266897/17606371328 |
j-invariant |
L |
7.6159733149279 |
L(r)(E,1)/r! |
Ω |
0.17309030265046 |
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 |
7826m1 |
Quadratic twists by: -7 |