Atkin-Lehner |
2- 3+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19344n |
Isogeny class |
Conductor |
19344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-7717502976768 = -1 · 28 · 34 · 13 · 315 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 5 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4907,-20711] |
[a1,a2,a3,a4,a6] |
Generators |
[25:342:1] |
Generators of the group modulo torsion |
j |
51032096768000/30146496003 |
j-invariant |
L |
4.5499966931647 |
L(r)(E,1)/r! |
Ω |
0.43405951150676 |
Real period |
R |
2.6206064908993 |
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 |
4836e1 77376bj1 58032bg1 |
Quadratic twists by: -4 8 -3 |