Atkin-Lehner |
2- 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
87984bh |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-218478740950499328 = -1 · 214 · 317 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -3 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,118509,16098514] |
[a1,a2,a3,a4,a6] |
j |
61643918316527/73168088292 |
j-invariant |
L |
1.6850327060602 |
L(r)(E,1)/r! |
Ω |
0.2106290762077 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10998d1 29328p1 |
Quadratic twists by: -4 -3 |