Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27636d |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-241759728 = -1 · 24 · 38 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26,-755] |
[a1,a2,a3,a4,a6] |
Generators |
[55:405:1] |
Generators of the group modulo torsion |
j |
2385152/308367 |
j-invariant |
L |
3.1679679743286 |
L(r)(E,1)/r! |
Ω |
0.83185819174192 |
Real period |
R |
1.9041514562084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544eb1 82908bc1 27636p1 |
Quadratic twists by: -4 -3 -7 |