Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592bd |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-447104448 = -1 · 26 · 36 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201,-1496] |
[a1,a2,a3,a4,a6] |
Generators |
[89:828:1] |
Generators of the group modulo torsion |
j |
-19248832/9583 |
j-invariant |
L |
3.8853045872832 |
L(r)(E,1)/r! |
Ω |
0.6193394545892 |
Real period |
R |
3.1366519263102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74592bn1 8288c1 |
Quadratic twists by: -4 -3 |