Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85848w |
Isogeny class |
Conductor |
85848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-32965632 = -1 · 210 · 32 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 3 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,272] |
[a1,a2,a3,a4,a6] |
j |
-9604/657 |
j-invariant |
L |
6.8527059121983 |
L(r)(E,1)/r! |
Ω |
1.7131764713457 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85848l1 |
Quadratic twists by: -7 |