Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800u |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
423536400000000 = 210 · 32 · 58 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20008,-447488] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:750:1] [-72:784:1] |
Generators of the group modulo torsion |
j |
470596/225 |
j-invariant |
L |
8.6203735551222 |
L(r)(E,1)/r! |
Ω |
0.42085644250634 |
Real period |
R |
2.5603663994616 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29400eb2 11760bf2 1200g2 |
Quadratic twists by: -4 5 -7 |