Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100188m |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
5693142086639568 = 24 · 38 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79860,-7891499] |
[a1,a2,a3,a4,a6] |
j |
2048000/207 |
j-invariant |
L |
2.2867979354501 |
L(r)(E,1)/r! |
Ω |
0.28584975054628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33396j1 100188n1 |
Quadratic twists by: -3 -11 |