Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
48804u |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-160768770288 = -1 · 24 · 3 · 79 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114,-19335] |
[a1,a2,a3,a4,a6] |
Generators |
[212:3087:1] |
Generators of the group modulo torsion |
j |
-256/249 |
j-invariant |
L |
5.6897980631532 |
L(r)(E,1)/r! |
Ω |
0.46131977773974 |
Real period |
R |
2.0556232855135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48804e1 |
Quadratic twists by: -7 |