Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544dd |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
238464 |
Modular degree for the optimal curve |
Δ |
99839803392 = 215 · 33 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -4 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4720,122324] |
[a1,a2,a3,a4,a6] |
Generators |
[2:336:1] |
Generators of the group modulo torsion |
j |
1182740881/10152 |
j-invariant |
L |
6.2453030086716 |
L(r)(E,1)/r! |
Ω |
1.0693555767986 |
Real period |
R |
0.16222914396021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999606096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13818l1 110544cv1 |
Quadratic twists by: -4 -7 |