Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785m |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
6799578856785 = 310 · 5 · 116 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-119813,15992012] |
[a1,a2,a3,a4,a6] |
Generators |
[226:534:1] |
Generators of the group modulo torsion |
j |
147281603041/5265 |
j-invariant |
L |
3.124205192268 |
L(r)(E,1)/r! |
Ω |
0.70028804433255 |
Real period |
R |
4.4613144798371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595n1 585f1 |
Quadratic twists by: -3 -11 |