Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680bt |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
429923020800 = 212 · 3 · 52 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19825,1080577] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:780:1] |
Generators of the group modulo torsion |
j |
210390079802176/104961675 |
j-invariant |
L |
5.6535367709612 |
L(r)(E,1)/r! |
Ω |
0.9292020563329 |
Real period |
R |
1.5210730358466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680w4 87360cj1 |
Quadratic twists by: -4 8 |