Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
96480u |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
2110017600 = 26 · 39 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-513,-3888] |
[a1,a2,a3,a4,a6] |
Generators |
[31:100:1] |
Generators of the group modulo torsion |
j |
11852352/1675 |
j-invariant |
L |
5.3182169902269 |
L(r)(E,1)/r! |
Ω |
1.0125933202524 |
Real period |
R |
2.6260379650852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999973446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96480t1 96480d1 |
Quadratic twists by: -4 -3 |