Atkin-Lehner |
3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33579i |
Isogeny class |
Conductor |
33579 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-4.0116408220667E+19 |
Discriminant |
Eigenvalues |
0 3- -1 7- -2 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,433302,-284270648] |
[a1,a2,a3,a4,a6] |
Generators |
[946:-31181:1] |
Generators of the group modulo torsion |
j |
12341509011613712384/55029366557842131 |
j-invariant |
L |
3.7590735314836 |
L(r)(E,1)/r! |
Ω |
0.10310199280855 |
Real period |
R |
0.33759033607877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11193c1 |
Quadratic twists by: -3 |