Atkin-Lehner |
2+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87856c |
Isogeny class |
Conductor |
87856 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
151687435215872 = 210 · 177 · 192 |
Discriminant |
Eigenvalues |
2+ -2 -4 2 -4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16280,531364] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:1156:1] |
Generators of the group modulo torsion |
j |
19307236/6137 |
j-invariant |
L |
2.498807860369 |
L(r)(E,1)/r! |
Ω |
0.53413772235976 |
Real period |
R |
0.58477611695076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999791152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43928d1 5168b1 |
Quadratic twists by: -4 17 |