Atkin-Lehner |
2+ 3- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
46992d |
Isogeny class |
Conductor |
46992 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1043158719449088 = -1 · 211 · 312 · 112 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16464,1748340] |
[a1,a2,a3,a4,a6] |
Generators |
[78:-972:1] [-138:1188:1] |
Generators of the group modulo torsion |
j |
-241005087402914/509354843481 |
j-invariant |
L |
9.6015574942898 |
L(r)(E,1)/r! |
Ω |
0.4374312627737 |
Real period |
R |
0.45728886986573 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23496c2 |
Quadratic twists by: -4 |