Atkin-Lehner |
2+ 3- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
101184o |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-11190140928 = -1 · 218 · 34 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,511,2655] |
[a1,a2,a3,a4,a6] |
Generators |
[13:108:1] |
Generators of the group modulo torsion |
j |
56181887/42687 |
j-invariant |
L |
5.5406746598042 |
L(r)(E,1)/r! |
Ω |
0.81748848789078 |
Real period |
R |
1.6944197797265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101184s1 1581b1 |
Quadratic twists by: -4 8 |