Atkin-Lehner |
2- 3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
119616v |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6658560 |
Modular degree for the optimal curve |
Δ |
-5.345881041579E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 0 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9394817,-11625315807] |
[a1,a2,a3,a4,a6] |
Generators |
[23843448873456239595300209131425:980759167990575243485350055490944:5398959244165809814878328125] |
Generators of the group modulo torsion |
j |
-349823363639236564897/20392917791668128 |
j-invariant |
L |
8.312042310308 |
L(r)(E,1)/r! |
Ω |
0.042971605449259 |
Real period |
R |
48.357759870776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119616i1 29904g1 |
Quadratic twists by: -4 8 |