Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536u |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-61454942208 = -1 · 224 · 32 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-888,15984] |
[a1,a2,a3,a4,a6] |
j |
-18927429625/15003648 |
j-invariant |
L |
2.0335476602601 |
L(r)(E,1)/r! |
Ω |
1.01677383013 |
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 |
2442e1 78144cn1 58608bc1 |
Quadratic twists by: -4 8 -3 |