Atkin-Lehner |
2- 7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89936l |
Isogeny class |
Conductor |
89936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
194560 |
Modular degree for the optimal curve |
Δ |
-337088761856 = -1 · 212 · 7 · 115 · 73 |
Discriminant |
Eigenvalues |
2- 3 -3 7+ 11+ -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2539,-56614] |
[a1,a2,a3,a4,a6] |
j |
-441928354113/82297061 |
j-invariant |
L |
0.66583905358572 |
L(r)(E,1)/r! |
Ω |
0.33291959272164 |
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 |
5621d1 |
Quadratic twists by: -4 |