Atkin-Lehner |
2- 3- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
116820r |
Isogeny class |
Conductor |
116820 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
547008 |
Modular degree for the optimal curve |
Δ |
-5914012500000000 = -1 · 28 · 36 · 511 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47367,5425326] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1250:1] |
Generators of the group modulo torsion |
j |
-62977273825104/31689453125 |
j-invariant |
L |
5.71422781514 |
L(r)(E,1)/r! |
Ω |
0.39672488297763 |
Real period |
R |
1.3094093055601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12980e1 |
Quadratic twists by: -3 |