Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bv |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-4874133569536 = -1 · 224 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 0 1 7+ 11- -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3212,127248] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:392:1] |
Generators of the group modulo torsion |
j |
-115538049/153664 |
j-invariant |
L |
5.4716023079084 |
L(r)(E,1)/r! |
Ω |
0.69424220486443 |
Real period |
R |
1.9703506461949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208bc1 13552l1 54208cp1 |
Quadratic twists by: -4 8 -11 |