Atkin-Lehner |
2- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10336k |
Isogeny class |
Conductor |
10336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1323008 = 212 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 0 2 0 -4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1724,27552] |
[a1,a2,a3,a4,a6] |
Generators |
[6:132:1] |
Generators of the group modulo torsion |
j |
138348848448/323 |
j-invariant |
L |
4.7459513161733 |
L(r)(E,1)/r! |
Ω |
2.3436950054496 |
Real period |
R |
2.0249867432144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10336d2 20672r1 93024f4 |
Quadratic twists by: -4 8 -3 |