Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600f |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
306701002800000000 = 210 · 33 · 58 · 734 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-404408,-95198688] |
[a1,a2,a3,a4,a6] |
Generators |
[-2134501610:4432518979:6859000] |
Generators of the group modulo torsion |
j |
457155572559556/19168812675 |
j-invariant |
L |
6.2041052143259 |
L(r)(E,1)/r! |
Ω |
0.18980924412953 |
Real period |
R |
16.34300068485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43800n3 17520g3 |
Quadratic twists by: -4 5 |