Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560cv |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
767692800 = 212 · 32 · 52 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62480,-5990400] |
[a1,a2,a3,a4,a6] |
j |
6585576176607121/187425 |
j-invariant |
L |
2.41575956602 |
L(r)(E,1)/r! |
Ω |
0.30196994575257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1785o1 114240iq1 85680ds1 |
Quadratic twists by: -4 8 -3 |