Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680g |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2096640000 = 212 · 32 · 54 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385,-1775] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:20:1] |
Generators of the group modulo torsion |
j |
1544804416/511875 |
j-invariant |
L |
5.2069688616711 |
L(r)(E,1)/r! |
Ω |
1.1061901616162 |
Real period |
R |
0.58838989017886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999784 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680t2 87360gg1 |
Quadratic twists by: -4 8 |