Atkin-Lehner |
2- 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782bb |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-12247180307054 = -1 · 2 · 72 · 119 · 53 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 11- -5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-143206,-20919183] |
[a1,a2,a3,a4,a6] |
j |
-183337554283129/6913214 |
j-invariant |
L |
0.49083816136976 |
L(r)(E,1)/r! |
Ω |
0.1227095199457 |
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 |
8162c1 |
Quadratic twists by: -11 |