Atkin-Lehner |
3- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701bb |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103936 |
Modular degree for the optimal curve |
Δ |
1905618383361 = 34 · 79 · 11 · 53 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3137,12480] |
[a1,a2,a3,a4,a6] |
j |
84604519/47223 |
j-invariant |
L |
1.4402329144396 |
L(r)(E,1)/r! |
Ω |
0.72011651515088 |
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 |
85701n1 |
Quadratic twists by: -7 |