Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69966q |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8.4510874539897E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-131223546,578599032532] |
[a1,a2,a3,a4,a6] |
Generators |
[6579:-587:1] |
Generators of the group modulo torsion |
j |
71018481135016712233/2401734263136 |
j-invariant |
L |
6.4330361237977 |
L(r)(E,1)/r! |
Ω |
0.12212441250417 |
Real period |
R |
4.3896738794767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23322m2 5382p2 |
Quadratic twists by: -3 13 |