Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
33300j |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-172627200 = -1 · 28 · 36 · 52 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255,-1690] |
[a1,a2,a3,a4,a6] |
Generators |
[19:18:1] |
Generators of the group modulo torsion |
j |
-393040/37 |
j-invariant |
L |
4.7157680307629 |
L(r)(E,1)/r! |
Ω |
0.59417698242973 |
Real period |
R |
1.3227731159266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3700c1 33300z1 |
Quadratic twists by: -3 5 |