Atkin-Lehner |
2+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19240c |
Isogeny class |
Conductor |
19240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
8128900000000 = 28 · 58 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 6 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26263,-1632438] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:12:1] |
Generators of the group modulo torsion |
j |
7825583825329104/31753515625 |
j-invariant |
L |
4.4204780442144 |
L(r)(E,1)/r! |
Ω |
0.37511935838888 |
Real period |
R |
3.9280635575124 |
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 |
38480e1 96200p1 |
Quadratic twists by: -4 5 |