Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280t |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-209916000000 = -1 · 28 · 32 · 56 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1444,-5856] |
[a1,a2,a3,a4,a6] |
j |
1299823947056/819984375 |
j-invariant |
L |
3.4492964875653 |
L(r)(E,1)/r! |
Ω |
0.57488274792755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560d1 114240co1 42840cj1 71400ce1 |
Quadratic twists by: -4 8 -3 5 |