Atkin-Lehner |
2+ 5+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111650g |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-1139723200000000 = -1 · 212 · 58 · 7 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-170042,27080116] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:7388:1] [228:-466:1] |
Generators of the group modulo torsion |
j |
-34799558650342641/72942284800 |
j-invariant |
L |
8.5683886992304 |
L(r)(E,1)/r! |
Ω |
0.48925382622576 |
Real period |
R |
4.37829416861 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22330d1 |
Quadratic twists by: 5 |