Atkin-Lehner |
2+ 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6270d |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-29017342901250 = -1 · 2 · 312 · 54 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3493,248151] |
[a1,a2,a3,a4,a6] |
Generators |
[7:519:1] |
Generators of the group modulo torsion |
j |
4711131042738119/29017342901250 |
j-invariant |
L |
2.8787332528511 |
L(r)(E,1)/r! |
Ω |
0.480365011473 |
Real period |
R |
0.74910047154134 |
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 |
50160cd2 18810r2 31350cc2 68970bz2 |
Quadratic twists by: -4 -3 5 -11 |