Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
43316r |
Isogeny class |
Conductor |
43316 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-34640151728 = -1 · 24 · 73 · 135 · 17 |
Discriminant |
Eigenvalues |
2- -1 0 7- 5 13- 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,747,4054] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-169:1] |
Generators of the group modulo torsion |
j |
8388608000/6311981 |
j-invariant |
L |
4.7580408474135 |
L(r)(E,1)/r! |
Ω |
0.74309094755979 |
Real period |
R |
0.21343465709172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43316d1 |
Quadratic twists by: -7 |