Atkin-Lehner |
5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71995d |
Isogeny class |
Conductor |
71995 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
396000 |
Modular degree for the optimal curve |
Δ |
-9645479773496875 = -1 · 55 · 7 · 1110 · 17 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 11- 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,33857,4063106] |
[a1,a2,a3,a4,a6] |
j |
165483351/371875 |
j-invariant |
L |
0.28415353123213 |
L(r)(E,1)/r! |
Ω |
0.28415349668517 |
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 |
71995n1 |
Quadratic twists by: -11 |