Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785n |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19169280 |
Modular degree for the optimal curve |
Δ |
276535094561636625 = 38 · 53 · 1110 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4857952793,130326309109032] |
[a1,a2,a3,a4,a6] |
Generators |
[169441431220125771118:-500230666348629028050:4180984271853299] |
Generators of the group modulo torsion |
j |
9817478153357586761106721/214124625 |
j-invariant |
L |
3.0450948499662 |
L(r)(E,1)/r! |
Ω |
0.11041594798427 |
Real period |
R |
27.578397013949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595d1 6435f1 |
Quadratic twists by: -3 -11 |