Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45760w |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-49494016000 = -1 · 214 · 53 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11- 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7125,234125] |
[a1,a2,a3,a4,a6] |
Generators |
[20:315:1] |
Generators of the group modulo torsion |
j |
-2441851961344/3020875 |
j-invariant |
L |
9.8305188020773 |
L(r)(E,1)/r! |
Ω |
1.1249709925503 |
Real period |
R |
2.9128214170747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45760bq1 2860a1 |
Quadratic twists by: -4 8 |