Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160d |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-603036057600 = -1 · 222 · 34 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1599,27585] |
[a1,a2,a3,a4,a6] |
Generators |
[3:180:1] |
Generators of the group modulo torsion |
j |
1723683599/2300400 |
j-invariant |
L |
3.3572139229566 |
L(r)(E,1)/r! |
Ω |
0.6172610072989 |
Real period |
R |
1.3597221774169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160db1 2130o1 |
Quadratic twists by: -4 8 |