Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208ca |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
4 |
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 |
[-84:847:1] |
Generators of the group modulo torsion |
j |
-4194304/539 |
j-invariant |
L |
4.6035848974036 |
L(r)(E,1)/r! |
Ω |
0.67717050905399 |
Real period |
R |
1.6995663705959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208bg1 13552o1 4928bg1 |
Quadratic twists by: -4 8 -11 |