Atkin-Lehner |
2- 3- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
18156c |
Isogeny class |
Conductor |
18156 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-6709770867456 = -1 · 28 · 37 · 17 · 893 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 5 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3949,155711] |
[a1,a2,a3,a4,a6] |
Generators |
[26:267:1] |
Generators of the group modulo torsion |
j |
-26610627715072/26210042451 |
j-invariant |
L |
5.1689264861682 |
L(r)(E,1)/r! |
Ω |
0.68271418014893 |
Real period |
R |
0.36053060510697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72624t1 54468b1 |
Quadratic twists by: -4 -3 |