Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
96480y |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-56970475200000000 = -1 · 212 · 312 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,61512,9868912] |
[a1,a2,a3,a4,a6] |
Generators |
[636:17500:1] |
Generators of the group modulo torsion |
j |
8620168984064/19079296875 |
j-invariant |
L |
4.8014340363602 |
L(r)(E,1)/r! |
Ω |
0.24487130814773 |
Real period |
R |
2.45099868132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96480z1 32160j1 |
Quadratic twists by: -4 -3 |