Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33124r |
Isogeny class |
Conductor |
33124 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-5089966336 = -1 · 28 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 0 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-212,3704] |
[a1,a2,a3,a4,a6] |
Generators |
[26:441:8] |
Generators of the group modulo torsion |
j |
-208 |
j-invariant |
L |
6.1485636006159 |
L(r)(E,1)/r! |
Ω |
1.1838148870617 |
Real period |
R |
2.596927808484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
676b1 33124q1 |
Quadratic twists by: -7 13 |