Atkin-Lehner |
3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36309ba |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1469171203630767 = 34 · 77 · 132 · 194 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-312474,67179573] |
[a1,a2,a3,a4,a6] |
Generators |
[57:7011:1] |
Generators of the group modulo torsion |
j |
28679872714374673/12487749183 |
j-invariant |
L |
3.6403629809968 |
L(r)(E,1)/r! |
Ω |
0.47072296393144 |
Real period |
R |
0.96669465373845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108927ba4 5187b3 |
Quadratic twists by: -3 -7 |