Atkin-Lehner |
2+ 3- 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690bb |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
-23530960890 = -1 · 2 · 38 · 5 · 173 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -5 6 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2529,50143] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:230:1] |
Generators of the group modulo torsion |
j |
-2454365649169/32278410 |
j-invariant |
L |
4.6667092002363 |
L(r)(E,1)/r! |
Ω |
1.2043043937086 |
Real period |
R |
0.32291871889291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230t1 |
Quadratic twists by: -3 |