Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14430b |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.3524133888483E+31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9786369678,-439673125469868] |
[a1,a2,a3,a4,a6] |
Generators |
[8904475979240726967461521147935752120493521267611533891156968182793212327711370150374551624940884291993009:-7527130744015950631555111907397851745658470089496994648791999547257694282242177191413027547427021200790030678:12231557595992154422453888992163430893669449581943048117558664368790976821748444322100687864714650507] |
Generators of the group modulo torsion |
j |
-103654596060051860231482645605772009/23524133888483047485351562500000 |
j-invariant |
L |
2.474948491664 |
L(r)(E,1)/r! |
Ω |
0.0074989993278458 |
Real period |
R |
165.01858337777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440ci3 43290bq3 72150co3 |
Quadratic twists by: -4 -3 5 |