Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720bk |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1506417868800 = -1 · 215 · 33 · 52 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1984,47616] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:130:1] |
Generators of the group modulo torsion |
j |
210751100351/367777800 |
j-invariant |
L |
5.8701975750086 |
L(r)(E,1)/r! |
Ω |
0.58177095220785 |
Real period |
R |
0.8408517641543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090ba1 |
Quadratic twists by: -4 |