Atkin-Lehner |
2- 3+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
12816d |
Isogeny class |
Conductor |
12816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-615168 = -1 · 28 · 33 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96,364] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:18:1] [5:3:1] |
Generators of the group modulo torsion |
j |
-14155776/89 |
j-invariant |
L |
5.7626630243537 |
L(r)(E,1)/r! |
Ω |
2.9074050652412 |
Real period |
R |
0.49551600955503 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3204a1 51264v1 12816e1 |
Quadratic twists by: -4 8 -3 |