Atkin-Lehner |
3- 11+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
68211c |
Isogeny class |
Conductor |
68211 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
99456 |
Modular degree for the optimal curve |
Δ |
-643347121131 = -1 · 36 · 11 · 134 · 532 |
Discriminant |
Eigenvalues |
0 3- 1 0 11+ 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-33192,-2327866] |
[a1,a2,a3,a4,a6] |
j |
-5547488993869824/882506339 |
j-invariant |
L |
1.4148064981185 |
L(r)(E,1)/r! |
Ω |
0.17685081219316 |
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 |
7579e1 |
Quadratic twists by: -3 |