Atkin-Lehner |
3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1521c |
Isogeny class |
Conductor |
1521 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-1108809 = -1 · 38 · 132 |
Discriminant |
Eigenvalues |
1 3- -1 -2 -2 13+ 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90,-311] |
[a1,a2,a3,a4,a6] |
j |
-658489/9 |
j-invariant |
L |
1.547960456318 |
L(r)(E,1)/r! |
Ω |
0.77398022815898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24336bm1 97344be1 507b1 38025bj1 |
Quadratic twists by: -4 8 -3 5 |