Atkin-Lehner |
2- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96824j |
Isogeny class |
Conductor |
96824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-35202207179776 = -1 · 210 · 77 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 2 1 7- -5 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8640,-417892] |
[a1,a2,a3,a4,a6] |
j |
-592143556/292201 |
j-invariant |
L |
1.9353385391343 |
L(r)(E,1)/r! |
Ω |
0.24191731018302 |
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 |
13832f1 |
Quadratic twists by: -7 |