Atkin-Lehner |
3+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120159d |
Isogeny class |
Conductor |
120159 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1739953627893 = 33 · 138 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 2 2 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-213479,38018010] |
[a1,a2,a3,a4,a6] |
Generators |
[140:3225:1] |
Generators of the group modulo torsion |
j |
8255880653931/13351 |
j-invariant |
L |
5.3544092593402 |
L(r)(E,1)/r! |
Ω |
0.71556216848458 |
Real period |
R |
0.93535011358741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000110361 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120159b2 9243a2 |
Quadratic twists by: -3 13 |