Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368c |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-781475482368 = -1 · 28 · 33 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-735,43218] |
[a1,a2,a3,a4,a6] |
Generators |
[7:196:1] [42:294:1] |
Generators of the group modulo torsion |
j |
-54000/961 |
j-invariant |
L |
12.191480303543 |
L(r)(E,1)/r! |
Ω |
0.75559011875227 |
Real period |
R |
2.0168805815307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109368be2 2232a2 |
Quadratic twists by: -3 -7 |