Atkin-Lehner |
2+ 3- 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582f |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
32220379229995008 = 214 · 38 · 132 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 2 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1393830,-632970572] |
[a1,a2,a3,a4,a6] |
Generators |
[-2969834572:879849446:4330747] |
Generators of the group modulo torsion |
j |
410795599234646890081/44198051069952 |
j-invariant |
L |
5.7688839341382 |
L(r)(E,1)/r! |
Ω |
0.13894722956115 |
Real period |
R |
10.379631085787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25194s1 |
Quadratic twists by: -3 |