Atkin-Lehner |
3- 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
85701w |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
269760 |
Modular degree for the optimal curve |
Δ |
-24672116629083 = -1 · 3 · 73 · 115 · 533 |
Discriminant |
Eigenvalues |
-2 3- 0 7- 11+ 5 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-758,-239368] |
[a1,a2,a3,a4,a6] |
j |
-140608000000/71930369181 |
j-invariant |
L |
1.8124374633884 |
L(r)(E,1)/r! |
Ω |
0.30207290635853 |
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 |
85701j1 |
Quadratic twists by: -7 |