Atkin-Lehner |
2- 3+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
41004b |
Isogeny class |
Conductor |
41004 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-527475456 = -1 · 28 · 33 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 5 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,96,1044] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:27:1] [13:67:1] |
Generators of the group modulo torsion |
j |
14155776/76313 |
j-invariant |
L |
7.2352285299761 |
L(r)(E,1)/r! |
Ω |
1.1875816955671 |
Real period |
R |
1.5231012226321 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41004a1 |
Quadratic twists by: -3 |