Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
96480j |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-125038080 = -1 · 29 · 36 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -5 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-538] |
[a1,a2,a3,a4,a6] |
Generators |
[49:342:1] |
Generators of the group modulo torsion |
j |
-8/335 |
j-invariant |
L |
7.4656850659477 |
L(r)(E,1)/r! |
Ω |
0.8476400326182 |
Real period |
R |
2.2019031622711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96480g1 10720b1 |
Quadratic twists by: -4 -3 |