Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200dc |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
1229132800000000 = 216 · 58 · 7 · 193 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -3 5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35208,-1891088] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:800:1] |
Generators of the group modulo torsion |
j |
3016755625/768208 |
j-invariant |
L |
3.8541632721174 |
L(r)(E,1)/r! |
Ω |
0.35506897351039 |
Real period |
R |
0.90455741457681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650o1 53200ce1 |
Quadratic twists by: -4 5 |