Atkin-Lehner |
2+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68200j |
Isogeny class |
Conductor |
68200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-120032000 = -1 · 28 · 53 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 11+ -2 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,87,397] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:10:1] [1:22:1] |
Generators of the group modulo torsion |
j |
2249728/3751 |
j-invariant |
L |
7.2696425912753 |
L(r)(E,1)/r! |
Ω |
1.2738880800727 |
Real period |
R |
0.35666607535081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68200v1 |
Quadratic twists by: 5 |