Atkin-Lehner |
3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
18291g |
Isogeny class |
Conductor |
18291 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-1815660815787 = -1 · 36 · 72 · 132 · 673 |
Discriminant |
Eigenvalues |
0 3- 0 7- 0 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2697,-35125] |
[a1,a2,a3,a4,a6] |
Generators |
[15:94:1] |
Generators of the group modulo torsion |
j |
2168730128384000/1815660815787 |
j-invariant |
L |
5.3272912162757 |
L(r)(E,1)/r! |
Ω |
0.46180757683016 |
Real period |
R |
1.4419672509604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
54873q1 128037c1 |
Quadratic twists by: -3 -7 |