Atkin-Lehner |
3- 5- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65565o |
Isogeny class |
Conductor |
65565 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1359360 |
Modular degree for the optimal curve |
Δ |
-1.5017874620291E+19 |
Discriminant |
Eigenvalues |
1 3- 5- -1 -6 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,215856,-182464475] |
[a1,a2,a3,a4,a6] |
Generators |
[596:12257:1] |
Generators of the group modulo torsion |
j |
1525764222360859391/20600651056640625 |
j-invariant |
L |
7.2146077563058 |
L(r)(E,1)/r! |
Ω |
0.10858420413331 |
Real period |
R |
0.46140636336429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21855a1 |
Quadratic twists by: -3 |