Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472j |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-1.3107784407342E+19 |
Discriminant |
Eigenvalues |
2+ 2 4 7+ -4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,582239,-33369567] |
[a1,a2,a3,a4,a6] |
Generators |
[142506211097176499094328256593327110:2734467431068942528733546421389131603:2408130123221813168976410583459000] |
Generators of the group modulo torsion |
j |
3449795831/2071552 |
j-invariant |
L |
14.370358437376 |
L(r)(E,1)/r! |
Ω |
0.13050540938489 |
Real period |
R |
55.056562063272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472dk1 4046c1 7616d1 |
Quadratic twists by: -4 8 17 |