Atkin-Lehner |
2+ 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544w |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-331632 = -1 · 24 · 32 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 2 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,43] |
[a1,a2,a3,a4,a6] |
Generators |
[7:15:1] |
Generators of the group modulo torsion |
j |
-614656/423 |
j-invariant |
L |
8.5277560585476 |
L(r)(E,1)/r! |
Ω |
2.8071262782237 |
Real period |
R |
1.5189477091948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989339 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55272bi1 110544y1 |
Quadratic twists by: -4 -7 |