Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
93024v |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-35721216 = -1 · 212 · 33 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 -4 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-288] |
[a1,a2,a3,a4,a6] |
Generators |
[12:36:1] |
Generators of the group modulo torsion |
j |
-1728/323 |
j-invariant |
L |
5.760937240929 |
L(r)(E,1)/r! |
Ω |
0.91860875144531 |
Real period |
R |
1.5678430108611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93024a1 93024b1 |
Quadratic twists by: -4 -3 |