Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280s |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
36000594000 = 24 · 32 · 53 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1051,9074] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:147:1] |
Generators of the group modulo torsion |
j |
8032024643584/2250037125 |
j-invariant |
L |
5.8526957075682 |
L(r)(E,1)/r! |
Ω |
1.0792180434603 |
Real period |
R |
0.90384819870795 |
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 |
28560c1 114240ci1 42840co1 71400cm1 |
Quadratic twists by: -4 8 -3 5 |