Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9920w |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-2539520 = -1 · 214 · 5 · 31 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 2 -2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
221184/155 |
j-invariant |
L |
2.5788178336119 |
L(r)(E,1)/r! |
Ω |
1.4502668029667 |
Real period |
R |
1.778167871137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9920d1 2480o1 89280fs1 49600cl1 |
Quadratic twists by: -4 8 -3 5 |