Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6006g |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
83312312835279528 = 23 · 35 · 7 · 118 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-124124,-9562872] |
[a1,a2,a3,a4,a6] |
Generators |
[451:4917:1] |
Generators of the group modulo torsion |
j |
211493228575739333833/83312312835279528 |
j-invariant |
L |
3.0045125755789 |
L(r)(E,1)/r! |
Ω |
0.26308680563653 |
Real period |
R |
2.8550582081735 |
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 |
48048ca4 18018bl3 42042bs4 66066bp4 |
Quadratic twists by: -4 -3 -7 -11 |