Atkin-Lehner |
2- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10336l |
Isogeny class |
Conductor |
10336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2811392 = 29 · 172 · 19 |
Discriminant |
Eigenvalues |
2- -2 0 2 0 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-1224] |
[a1,a2,a3,a4,a6] |
Generators |
[59:442:1] |
Generators of the group modulo torsion |
j |
1953125000/5491 |
j-invariant |
L |
3.5165778973091 |
L(r)(E,1)/r! |
Ω |
1.2568494315855 |
Real period |
R |
2.7979309286658 |
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 |
10336f2 20672s2 93024d2 |
Quadratic twists by: -4 8 -3 |