Atkin-Lehner |
3+ 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109263h |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
10200960 |
Modular degree for the optimal curve |
Δ |
-250501399672308477 = -1 · 3 · 77 · 119 · 43 |
Discriminant |
Eigenvalues |
1 3+ 4 7- 11+ -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27629868,55889076225] |
[a1,a2,a3,a4,a6] |
j |
-989295424761828059/106237047 |
j-invariant |
L |
3.3680027464105 |
L(r)(E,1)/r! |
Ω |
0.24057164830235 |
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 |
109263d1 |
Quadratic twists by: -11 |