Atkin-Lehner |
3- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045bq |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-120241095975 = -1 · 37 · 52 · 7 · 11 · 134 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,576,-15957] |
[a1,a2,a3,a4,a6] |
Generators |
[82:719:1] |
Generators of the group modulo torsion |
j |
28962726911/164939775 |
j-invariant |
L |
7.958231160426 |
L(r)(E,1)/r! |
Ω |
0.52501464496007 |
Real period |
R |
3.7895281764099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015l1 |
Quadratic twists by: -3 |