Atkin-Lehner |
2- 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978cc |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-501784631309808 = -1 · 24 · 32 · 77 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,10681,991353] |
[a1,a2,a3,a4,a6] |
j |
1145430322847/4265098992 |
j-invariant |
L |
5.951066962367 |
L(r)(E,1)/r! |
Ω |
0.37194168528579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7854l1 |
Quadratic twists by: -7 |