Atkin-Lehner |
3+ 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
16863c |
Isogeny class |
Conductor |
16863 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
85248 |
Modular degree for the optimal curve |
Δ |
35058177 = 34 · 72 · 112 · 73 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-730379,239949632] |
[a1,a2,a3,a4,a6] |
j |
43089215046717389515057/35058177 |
j-invariant |
L |
0.4515391771361 |
L(r)(E,1)/r! |
Ω |
0.9030783542722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50589m1 118041j1 |
Quadratic twists by: -3 -7 |