Atkin-Lehner |
2- 7- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87514n |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
52480 |
Modular degree for the optimal curve |
Δ |
-313650176 = -1 · 210 · 73 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 1 1 7- 2 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6210,187844] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-16:1] |
Generators of the group modulo torsion |
j |
-77216260169287/914432 |
j-invariant |
L |
13.560722722988 |
L(r)(E,1)/r! |
Ω |
1.5622359152288 |
Real period |
R |
0.43401648209818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87514w1 |
Quadratic twists by: -7 |