Atkin-Lehner |
3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
80613k |
Isogeny class |
Conductor |
80613 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-251080835546853 = -1 · 310 · 134 · 533 |
Discriminant |
Eigenvalues |
-1 3- -2 2 2 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1489,-762420] |
[a1,a2,a3,a4,a6] |
Generators |
[920:27444:1] |
Generators of the group modulo torsion |
j |
17546087/12059037 |
j-invariant |
L |
3.0765207800299 |
L(r)(E,1)/r! |
Ω |
0.25875068307428 |
Real period |
R |
0.33027511060245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26871a1 80613i1 |
Quadratic twists by: -3 13 |