Atkin-Lehner |
2+ 3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450y |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
-3.22776858624E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-295626,280233148] |
[a1,a2,a3,a4,a6] |
Generators |
[500422569:-19307621747:328509] |
Generators of the group modulo torsion |
j |
-182864522286982801/2065771895193600 |
j-invariant |
L |
6.5673739272137 |
L(r)(E,1)/r! |
Ω |
0.17683878663207 |
Real period |
R |
9.2844082072022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490w1 |
Quadratic twists by: 5 |