Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208be |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-203176787968 = -1 · 214 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,484,-21296] |
[a1,a2,a3,a4,a6] |
Generators |
[814:23232:1] |
Generators of the group modulo torsion |
j |
432/7 |
j-invariant |
L |
5.7533197450698 |
L(r)(E,1)/r! |
Ω |
0.4895539276383 |
Real period |
R |
2.9380418684408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208bx1 6776c1 448a1 |
Quadratic twists by: -4 8 -11 |