Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87984bw |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-924989165568 = -1 · 212 · 37 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 1 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4395,-121318] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1170:1] |
Generators of the group modulo torsion |
j |
-3144219625/309777 |
j-invariant |
L |
5.6317019468437 |
L(r)(E,1)/r! |
Ω |
0.29154738721206 |
Real period |
R |
1.6097160047292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5499g1 29328k1 |
Quadratic twists by: -4 -3 |