Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
43928c |
Isogeny class |
Conductor |
43928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2120630262064 = -1 · 24 · 178 · 19 |
Discriminant |
Eigenvalues |
2- 2 2 0 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,193,-70120] |
[a1,a2,a3,a4,a6] |
Generators |
[12803415:-788491891:3375] |
Generators of the group modulo torsion |
j |
2048/5491 |
j-invariant |
L |
10.191599783891 |
L(r)(E,1)/r! |
Ω |
0.38265018035273 |
Real period |
R |
13.317123977956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87856b1 2584a1 |
Quadratic twists by: -4 17 |