Atkin-Lehner |
2- 3+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
101592h |
Isogeny class |
Conductor |
101592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
16437891188736 = 211 · 39 · 173 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 0 -7 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18603,956934] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:1134:1] [90:108:1] |
Generators of the group modulo torsion |
j |
17662469526/407779 |
j-invariant |
L |
11.944471765653 |
L(r)(E,1)/r! |
Ω |
0.69445246259378 |
Real period |
R |
8.5999203757539 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101592a1 |
Quadratic twists by: -3 |