Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400i |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
62775000000000000 = 212 · 34 · 514 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-355633,-80616863] |
[a1,a2,a3,a4,a6] |
Generators |
[-353:900:1] [6847:564300:1] |
Generators of the group modulo torsion |
j |
77723279891776/980859375 |
j-invariant |
L |
8.9543281338062 |
L(r)(E,1)/r! |
Ω |
0.19565026635545 |
Real period |
R |
11.441753058456 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400y3 14880r2 |
Quadratic twists by: -4 5 |