Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8352f |
Isogeny class |
Conductor |
8352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-2630278656 = -1 · 29 · 311 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 6 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,213,2158] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:18:1] |
Generators of the group modulo torsion |
j |
2863288/7047 |
j-invariant |
L |
4.845204195914 |
L(r)(E,1)/r! |
Ω |
1.005888854144 |
Real period |
R |
1.2042096340846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8352e1 16704dc1 2784d1 |
Quadratic twists by: -4 8 -3 |