Atkin-Lehner |
2+ 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270c |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
25036110 = 2 · 32 · 5 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9122,331566] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-24:1] |
Generators of the group modulo torsion |
j |
83959202297868841/25036110 |
j-invariant |
L |
2.5078222137816 |
L(r)(E,1)/r! |
Ω |
1.7052753331587 |
Real period |
R |
1.4706259833926 |
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 |
50160cg4 18810y3 31350bw4 68970bt4 |
Quadratic twists by: -4 -3 5 -11 |