Atkin-Lehner |
3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46569j |
Isogeny class |
Conductor |
46569 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1010880 |
Modular degree for the optimal curve |
Δ |
639621543174057 = 32 · 197 · 433 |
Discriminant |
Eigenvalues |
-1 3- 0 4 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11360858,-14739837861] |
[a1,a2,a3,a4,a6] |
j |
3446954125979451625/13595697 |
j-invariant |
L |
2.2202942584705 |
L(r)(E,1)/r! |
Ω |
0.082233120677544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2451b1 |
Quadratic twists by: -19 |