Atkin-Lehner |
2+ 5- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
89680d |
Isogeny class |
Conductor |
89680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
8748734642000 = 24 · 53 · 192 · 594 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16202,-780921] |
[a1,a2,a3,a4,a6] |
Generators |
[7221:101080:27] |
Generators of the group modulo torsion |
j |
29397446791428096/546795915125 |
j-invariant |
L |
6.968500665754 |
L(r)(E,1)/r! |
Ω |
0.42364090103151 |
Real period |
R |
5.4830247647674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44840c1 |
Quadratic twists by: -4 |