Atkin-Lehner |
2- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10336k |
Isogeny class |
Conductor |
10336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1134313984 = -1 · 29 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 0 2 0 -4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,61,1610] |
[a1,a2,a3,a4,a6] |
Generators |
[19020:103895:1728] |
Generators of the group modulo torsion |
j |
49027896/2215457 |
j-invariant |
L |
4.7459513161733 |
L(r)(E,1)/r! |
Ω |
1.1718475027248 |
Real period |
R |
8.0999469728577 |
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 |
10336d4 20672r4 93024f2 |
Quadratic twists by: -4 8 -3 |