Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480w |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
554400000000 = 211 · 32 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29776,-1987276] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:18:1] |
Generators of the group modulo torsion |
j |
1425631925916578/270703125 |
j-invariant |
L |
5.7416829727262 |
L(r)(E,1)/r! |
Ω |
0.36344332648617 |
Real period |
R |
1.9747518231514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240q4 73920fy4 55440bs4 92400b4 |
Quadratic twists by: -4 8 -3 5 |