Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728fb |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-82139510237331456 = -1 · 215 · 39 · 73 · 135 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 1 13- -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,47733,-13191878] |
[a1,a2,a3,a4,a6] |
Generators |
[287:4914:1] |
Generators of the group modulo torsion |
j |
11743520417/80199288 |
j-invariant |
L |
6.9875790396916 |
L(r)(E,1)/r! |
Ω |
0.17047528154579 |
Real period |
R |
0.5123601327767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466ch1 30576cv1 91728dx1 |
Quadratic twists by: -4 -3 -7 |