Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1680m |
Isogeny class |
Conductor |
1680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
756000000000000 = 214 · 33 · 512 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69720,6984432] |
[a1,a2,a3,a4,a6] |
Generators |
[124:480:1] |
Generators of the group modulo torsion |
j |
9150443179640281/184570312500 |
j-invariant |
L |
2.5723360911699 |
L(r)(E,1)/r! |
Ω |
0.50545013393832 |
Real period |
R |
1.6963995182716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
210b4 6720bw4 5040bc4 8400cf4 |
Quadratic twists by: -4 8 -3 5 |