Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23712a |
Isogeny class |
Conductor |
23712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
833524224 = 29 · 3 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-664,6664] |
[a1,a2,a3,a4,a6] |
Generators |
[33:140:1] |
Generators of the group modulo torsion |
j |
63330349256/1627977 |
j-invariant |
L |
2.7367574898828 |
L(r)(E,1)/r! |
Ω |
1.5813547152256 |
Real period |
R |
3.461282232927 |
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 |
23712g3 47424dr4 71136ba3 |
Quadratic twists by: -4 8 -3 |