Atkin-Lehner |
2- 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
3504q |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
33834009674907648 = 230 · 34 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 6 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-154248,21624048] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:6570:1] |
Generators of the group modulo torsion |
j |
99088945018143625/8260256268288 |
j-invariant |
L |
3.4032279367981 |
L(r)(E,1)/r! |
Ω |
0.35949279077837 |
Real period |
R |
1.5777914625351 |
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 |
438d3 14016ca3 10512t3 87600ch3 |
Quadratic twists by: -4 8 -3 5 |