Atkin-Lehner |
3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9945f |
Isogeny class |
Conductor |
9945 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-2416635 = -1 · 37 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 -2 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48,148] |
[a1,a2,a3,a4,a6] |
Generators |
[4:4:1] |
Generators of the group modulo torsion |
j |
-16777216/3315 |
j-invariant |
L |
3.4703322678832 |
L(r)(E,1)/r! |
Ω |
2.4737619082964 |
Real period |
R |
0.35071405379035 |
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 |
3315d1 49725g1 129285bb1 |
Quadratic twists by: -3 5 13 |