Atkin-Lehner |
2- 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23712n |
Isogeny class |
Conductor |
23712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
62906832728064 = 212 · 314 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -2 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14209,533329] |
[a1,a2,a3,a4,a6] |
Generators |
[239:3276:1] |
Generators of the group modulo torsion |
j |
77461316057152/15358113459 |
j-invariant |
L |
4.2328723393191 |
L(r)(E,1)/r! |
Ω |
0.58953014025372 |
Real period |
R |
3.5900389566997 |
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 |
23712u2 47424df1 71136m2 |
Quadratic twists by: -4 8 -3 |