Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54208x |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-4174016 = -1 · 26 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7,101] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:7:1] [4:11:1] |
Generators of the group modulo torsion |
j |
-512/49 |
j-invariant |
L |
6.7751152683436 |
L(r)(E,1)/r! |
Ω |
2.027036434521 |
Real period |
R |
0.83559367174675 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208a1 27104q1 54208c1 |
Quadratic twists by: -4 8 -11 |