Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bg |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-15644612673536 = -1 · 214 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10325,-449869] |
[a1,a2,a3,a4,a6] |
Generators |
[9380:70301:64] |
Generators of the group modulo torsion |
j |
-4194304/539 |
j-invariant |
L |
7.7764921076107 |
L(r)(E,1)/r! |
Ω |
0.23511924995617 |
Real period |
R |
4.134334018281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208ca1 3388f1 4928b1 |
Quadratic twists by: -4 8 -11 |