Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320bv |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-190356480 = -1 · 210 · 37 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 1 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,119,-479] |
[a1,a2,a3,a4,a6] |
Generators |
[24:125:1] |
Generators of the group modulo torsion |
j |
180472064/185895 |
j-invariant |
L |
3.313034347963 |
L(r)(E,1)/r! |
Ω |
0.97316913110225 |
Real period |
R |
3.4043767337857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16320bc1 4080bf1 48960fl1 81600ib1 |
Quadratic twists by: -4 8 -3 5 |