Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728fr |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-106516021248 = -1 · 215 · 36 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 1 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651,16954] |
[a1,a2,a3,a4,a6] |
Generators |
[21:112:1] |
Generators of the group modulo torsion |
j |
-29791/104 |
j-invariant |
L |
6.0599252617262 |
L(r)(E,1)/r! |
Ω |
0.92689327891044 |
Real period |
R |
0.81723610953236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466cl1 10192bi1 91728ee1 |
Quadratic twists by: -4 -3 -7 |