Atkin-Lehner |
2- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10336k |
Isogeny class |
Conductor |
10336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
812492288 = 29 · 174 · 19 |
Discriminant |
Eigenvalues |
2- 0 2 0 -4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-299,-1442] |
[a1,a2,a3,a4,a6] |
Generators |
[54:374:1] |
Generators of the group modulo torsion |
j |
5773874184/1586899 |
j-invariant |
L |
4.7459513161733 |
L(r)(E,1)/r! |
Ω |
1.1718475027248 |
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 |
10336d3 20672r3 93024f3 |
Quadratic twists by: -4 8 -3 |