Atkin-Lehner |
2- 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
48312p |
Isogeny class |
Conductor |
48312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-16529660928 = -1 · 210 · 37 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,285,5902] |
[a1,a2,a3,a4,a6] |
j |
3429500/22143 |
j-invariant |
L |
1.7932118747597 |
L(r)(E,1)/r! |
Ω |
0.89660593725565 |
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 |
96624h1 16104c1 |
Quadratic twists by: -4 -3 |