Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560cg |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
469827993600 = 214 · 34 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8176,285376] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:704:1] [-70:714:1] |
Generators of the group modulo torsion |
j |
14758408587889/114704100 |
j-invariant |
L |
6.405274709029 |
L(r)(E,1)/r! |
Ω |
0.94006901122917 |
Real period |
R |
1.7034054501633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3570w2 114240js2 85680fj2 |
Quadratic twists by: -4 8 -3 |