Atkin-Lehner |
2- 3- 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690bt |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
308 |
Product of Tamagawa factors cp |
deg |
1025024 |
Modular degree for the optimal curve |
Δ |
-1302752160000000 = -1 · 211 · 38 · 57 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -5 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27572,2480919] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:861:1] [377:-6939:1] |
Generators of the group modulo torsion |
j |
-3179700581958649/1787040000000 |
j-invariant |
L |
15.498786522678 |
L(r)(E,1)/r! |
Ω |
0.44839642215814 |
Real period |
R |
0.11222376668165 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230c1 |
Quadratic twists by: -3 |