Atkin-Lehner |
2+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19240g |
Isogeny class |
Conductor |
19240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
25012000000 = 28 · 56 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ -3 5- -3 -5 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1972,32836] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:130:1] [-18:250:1] |
Generators of the group modulo torsion |
j |
3312870644736/97703125 |
j-invariant |
L |
4.586672599195 |
L(r)(E,1)/r! |
Ω |
1.1890122016922 |
Real period |
R |
0.080365600129174 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38480j1 96200s1 |
Quadratic twists by: -4 5 |