Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040n |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
138842234388480 = 215 · 3 · 5 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34561,-2395679] |
[a1,a2,a3,a4,a6] |
j |
1184287112/36015 |
j-invariant |
L |
2.8064031744882 |
L(r)(E,1)/r! |
Ω |
0.35080039677983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040cq3 23520y3 6720z4 |
Quadratic twists by: -4 8 -7 |