Atkin-Lehner |
2+ 3- 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
87216c |
Isogeny class |
Conductor |
87216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-385145856 = -1 · 210 · 32 · 232 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,176,356] |
[a1,a2,a3,a4,a6] |
j |
585452732/376119 |
j-invariant |
L |
4.2164857541414 |
L(r)(E,1)/r! |
Ω |
1.054121446367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43608a1 |
Quadratic twists by: -4 |