Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33516a |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-4788900144 = -1 · 24 · 38 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -5 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-6419] |
[a1,a2,a3,a4,a6] |
Generators |
[35:126:1] |
Generators of the group modulo torsion |
j |
-802816/171 |
j-invariant |
L |
4.3308635320566 |
L(r)(E,1)/r! |
Ω |
0.47929238892258 |
Real period |
R |
1.505992177966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11172l1 33516t1 |
Quadratic twists by: -3 -7 |