Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920hz |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1951508984896880640 = -1 · 216 · 34 · 5 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29345,67229535] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:8316:1] |
Generators of the group modulo torsion |
j |
-42644293386916/29777663954115 |
j-invariant |
L |
8.6600794021566 |
L(r)(E,1)/r! |
Ω |
0.2124118489303 |
Real period |
R |
3.3975189568426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920be3 18480f4 |
Quadratic twists by: -4 8 |