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 |
Δ |
1189524000000 = 28 · 3 · 56 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6196,-182320] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:84:1] |
Generators of the group modulo torsion |
j |
102775137127504/4646578125 |
j-invariant |
L |
5.8526957075682 |
L(r)(E,1)/r! |
Ω |
0.53960902173015 |
Real period |
R |
1.8076963974159 |
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 |
28560c2 114240ci2 42840co2 71400cm2 |
Quadratic twists by: -4 8 -3 5 |