Atkin-Lehner |
2+ 3- 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450r |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1542246337500000 = -1 · 25 · 3 · 58 · 114 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3901,1891448] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:1351:1] [138:1927:1] |
Generators of the group modulo torsion |
j |
-420021471169/98703765600 |
j-invariant |
L |
9.7836685809209 |
L(r)(E,1)/r! |
Ω |
0.38821339381443 |
Real period |
R |
6.3004450238738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490r2 |
Quadratic twists by: 5 |