Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480bu |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
699776119848960 = 214 · 35 · 5 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-416696,-103386000] |
[a1,a2,a3,a4,a6] |
Generators |
[2650:131890:1] |
Generators of the group modulo torsion |
j |
1953542217204454969/170843779260 |
j-invariant |
L |
3.7001092142337 |
L(r)(E,1)/r! |
Ω |
0.18790871120395 |
Real period |
R |
4.9227483794215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2310f4 73920ii4 55440eu4 92400gc4 |
Quadratic twists by: -4 8 -3 5 |