Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560m |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
734706000 = 24 · 32 · 53 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6391,-194534] |
[a1,a2,a3,a4,a6] |
j |
1804588288006144/45919125 |
j-invariant |
L |
1.0679043272824 |
L(r)(E,1)/r! |
Ω |
0.53395216364189 |
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 |
14280n1 114240kv1 85680cl1 |
Quadratic twists by: -4 8 -3 |