Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2736o |
Isogeny class |
Conductor |
2736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
55145152512 = 214 · 311 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13755,-620822] |
[a1,a2,a3,a4,a6] |
Generators |
[317:5184:1] |
Generators of the group modulo torsion |
j |
96386901625/18468 |
j-invariant |
L |
3.0819638415292 |
L(r)(E,1)/r! |
Ω |
0.44084853237495 |
Real period |
R |
1.7477453224841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
342b1 10944cj1 912h1 68400es1 |
Quadratic twists by: -4 8 -3 5 |