Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
240c |
Isogeny class |
Conductor |
240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
230400 = 210 · 32 · 52 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,16] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] |
Generators of the group modulo torsion |
j |
470596/225 |
j-invariant |
L |
1.2467793270684 |
L(r)(E,1)/r! |
Ω |
2.7966571709541 |
Real period |
R |
0.44581056985369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120b2 960p2 720e2 1200g2 |
Quadratic twists by: -4 8 -3 5 |