Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33120bd |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
386311680 = 29 · 38 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99363,12055498] |
[a1,a2,a3,a4,a6] |
Generators |
[186:94:1] [1782:74120:1] |
Generators of the group modulo torsion |
j |
290670065844488/1035 |
j-invariant |
L |
8.0092365170472 |
L(r)(E,1)/r! |
Ω |
1.1281744781015 |
Real period |
R |
14.198577742205 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33120g4 66240cs4 11040h2 |
Quadratic twists by: -4 8 -3 |