Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4560n |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-83726092468224000 = -1 · 236 · 33 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-413936,-103308864] |
[a1,a2,a3,a4,a6] |
j |
-1914980734749238129/20440940544000 |
j-invariant |
L |
0.18810047082216 |
L(r)(E,1)/r! |
Ω |
0.094050235411081 |
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 |
570k1 18240cy1 13680bo1 22800cy1 |
Quadratic twists by: -4 8 -3 5 |