Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6240b |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1746800640 = -1 · 212 · 38 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,239,1345] |
[a1,a2,a3,a4,a6] |
Generators |
[11:72:1] |
Generators of the group modulo torsion |
j |
367061696/426465 |
j-invariant |
L |
2.5008457985792 |
L(r)(E,1)/r! |
Ω |
0.99442338386852 |
Real period |
R |
2.5148702646657 |
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 |
6240k4 12480dh1 18720bn4 31200cg2 |
Quadratic twists by: -4 8 -3 5 |