Atkin-Lehner |
2+ 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536b |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
644688 = 24 · 32 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11+ 0 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-107,462] |
[a1,a2,a3,a4,a6] |
j |
8546879488/40293 |
j-invariant |
L |
2.8953337489514 |
L(r)(E,1)/r! |
Ω |
2.8953337489514 |
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 |
9768l1 78144cz1 58608q1 |
Quadratic twists by: -4 8 -3 |