Atkin-Lehner |
2- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
55664g |
Isogeny class |
Conductor |
55664 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
291456 |
Modular degree for the optimal curve |
Δ |
976215137296 = 24 · 74 · 714 |
Discriminant |
Eigenvalues |
2- -1 3 7+ -1 2 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-247074,-47188049] |
[a1,a2,a3,a4,a6] |
Generators |
[-146680:497:512] |
Generators of the group modulo torsion |
j |
43420464592836352/25411681 |
j-invariant |
L |
6.4089136611645 |
L(r)(E,1)/r! |
Ω |
0.21413746735078 |
Real period |
R |
2.4940807651749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13916a1 55664x1 |
Quadratic twists by: -4 -7 |