Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280v |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-17136000000 = -1 · 210 · 32 · 56 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-960,-13392] |
[a1,a2,a3,a4,a6] |
Generators |
[51:270:1] |
Generators of the group modulo torsion |
j |
-95651055364/16734375 |
j-invariant |
L |
6.0000518075808 |
L(r)(E,1)/r! |
Ω |
0.42475616950038 |
Real period |
R |
2.3543122063961 |
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 |
28560v1 114240b1 42840bp1 71400cu1 |
Quadratic twists by: -4 8 -3 5 |