Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952ct |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-3579700920090624 = -1 · 215 · 33 · 77 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12789,-2824262] |
[a1,a2,a3,a4,a6] |
Generators |
[182:2352:1] |
Generators of the group modulo torsion |
j |
17779581/275128 |
j-invariant |
L |
9.3004668869078 |
L(r)(E,1)/r! |
Ω |
0.2169637374492 |
Real period |
R |
2.6791536137624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994bt1 119952di2 17136r1 |
Quadratic twists by: -4 -3 -7 |