Atkin-Lehner |
2+ 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782n |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-27405844663328768 = -1 · 213 · 77 · 133 · 432 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- -1 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19332,-8033406] |
[a1,a2,a3,a4,a6] |
Generators |
[9342:898178:1] |
Generators of the group modulo torsion |
j |
-6790996982953/232945836032 |
j-invariant |
L |
3.4815287998572 |
L(r)(E,1)/r! |
Ω |
0.16330748918983 |
Real period |
R |
5.3297139298168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826c1 |
Quadratic twists by: -7 |