Atkin-Lehner |
7- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55811k |
Isogeny class |
Conductor |
55811 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
285696 |
Modular degree for the optimal curve |
Δ |
-772496079975011 = -1 · 714 · 17 · 67 |
Discriminant |
Eigenvalues |
2 -1 -2 7- -5 -4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,22916,65995] |
[a1,a2,a3,a4,a6] |
Generators |
[249132:4352149:1728] |
Generators of the group modulo torsion |
j |
11311832379392/6566108339 |
j-invariant |
L |
5.6449227680798 |
L(r)(E,1)/r! |
Ω |
0.30351322913679 |
Real period |
R |
4.6496513380052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7973a1 |
Quadratic twists by: -7 |