Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dc |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
21848400 = 24 · 33 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,999] |
[a1,a2,a3,a4,a6] |
j |
1811939328/50575 |
j-invariant |
L |
4.279734225701 |
L(r)(E,1)/r! |
Ω |
2.1398671025517 |
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 |
21420e1 85680cv1 |
Quadratic twists by: -4 -3 |