Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208cl |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-61111768256 = -1 · 26 · 72 · 117 |
Discriminant |
Eigenvalues |
2- -3 1 7+ 11- -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,968,2662] |
[a1,a2,a3,a4,a6] |
Generators |
[11:121:1] |
Generators of the group modulo torsion |
j |
884736/539 |
j-invariant |
L |
3.5338023522766 |
L(r)(E,1)/r! |
Ω |
0.68219567847336 |
Real period |
R |
0.6475052656767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208bp1 13552t1 4928bf1 |
Quadratic twists by: -4 8 -11 |