Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208ct |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-61111768256 = -1 · 26 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43237,3446089] |
[a1,a2,a3,a4,a6] |
Generators |
[120:7:1] [216:2057:1] |
Generators of the group modulo torsion |
j |
-78843215872/539 |
j-invariant |
L |
9.8047263880227 |
L(r)(E,1)/r! |
Ω |
0.9906862066913 |
Real period |
R |
1.2371130134096 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208l1 13552z1 4928t1 |
Quadratic twists by: -4 8 -11 |