Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100188q |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-130942267992710064 = -1 · 24 · 38 · 119 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-271524,57173105] |
[a1,a2,a3,a4,a6] |
j |
-80494592/4761 |
j-invariant |
L |
3.8923233892667 |
L(r)(E,1)/r! |
Ω |
0.32436029940728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33396a1 100188r1 |
Quadratic twists by: -3 -11 |