Atkin-Lehner |
2- 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
3504s |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
392896512 = 213 · 32 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -2 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1560,-23184] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:2:1] |
Generators of the group modulo torsion |
j |
102568953241/95922 |
j-invariant |
L |
2.1950788574311 |
L(r)(E,1)/r! |
Ω |
0.75966058134449 |
Real period |
R |
1.4447760692981 |
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 |
438g2 14016ce2 10512y2 87600bz2 |
Quadratic twists by: -4 8 -3 5 |