Atkin-Lehner |
2+ 3- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
89082t |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-47539131676848 = -1 · 24 · 36 · 79 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6624,392944] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:692:1] |
Generators of the group modulo torsion |
j |
-1092727/1616 |
j-invariant |
L |
2.6512723391518 |
L(r)(E,1)/r! |
Ω |
0.57225132867328 |
Real period |
R |
1.1582639505328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9898h1 89082x1 |
Quadratic twists by: -3 -7 |