Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90160c |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-24231338163424000 = -1 · 28 · 53 · 76 · 235 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 6 2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,71932,-975492] |
[a1,a2,a3,a4,a6] |
j |
1366664500224/804542875 |
j-invariant |
L |
2.0003167099675 |
L(r)(E,1)/r! |
Ω |
0.22225741583518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45080c1 1840b1 |
Quadratic twists by: -4 -7 |