Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536j |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
99283968 = 210 · 36 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ -4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-141,-387] |
[a1,a2,a3,a4,a6] |
j |
304900096/96957 |
j-invariant |
L |
1.4193973251734 |
L(r)(E,1)/r! |
Ω |
1.4193973251734 |
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 |
25536di1 3192o1 76608by1 |
Quadratic twists by: -4 8 -3 |