Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120bi |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4700254210560 = -1 · 29 · 38 · 5 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2733,88634] |
[a1,a2,a3,a4,a6] |
Generators |
[10:342:1] [170:2338:1] |
Generators of the group modulo torsion |
j |
6048464248/12592845 |
j-invariant |
L |
8.7221801514713 |
L(r)(E,1)/r! |
Ω |
0.53437185739571 |
Real period |
R |
16.32230446038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33120s2 66240bc3 11040b4 |
Quadratic twists by: -4 8 -3 |