Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020z |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-11269843200 = -1 · 28 · 33 · 52 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2247,-41314] |
[a1,a2,a3,a4,a6] |
Generators |
[67:330:1] |
Generators of the group modulo torsion |
j |
-3704530032/33275 |
j-invariant |
L |
8.3689863249868 |
L(r)(E,1)/r! |
Ω |
0.3465261823755 |
Real period |
R |
0.67086371465775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97020g2 97020c1 |
Quadratic twists by: -3 -7 |