Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280o |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
859431090000 = 24 · 3 · 54 · 73 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2751,32190] |
[a1,a2,a3,a4,a6] |
j |
143957189392384/53714443125 |
j-invariant |
L |
1.6249912454766 |
L(r)(E,1)/r! |
Ω |
0.81249562273828 |
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 |
28560k1 114240bs1 42840cg1 71400cx1 |
Quadratic twists by: -4 8 -3 5 |