Atkin-Lehner |
5+ 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
41075d |
Isogeny class |
Conductor |
41075 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-2.1830871124268E+19 |
Discriminant |
Eigenvalues |
1 1 5+ -4 -2 3 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-836026,-370342427] |
[a1,a2,a3,a4,a6] |
Generators |
[1132173:32663224:729] |
Generators of the group modulo torsion |
j |
-4135826307201041809/1397175751953125 |
j-invariant |
L |
5.6580798156063 |
L(r)(E,1)/r! |
Ω |
0.077616249484844 |
Real period |
R |
6.074844564506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8215a1 |
Quadratic twists by: 5 |