Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5148b |
Isogeny class |
Conductor |
5148 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
45034704 = 24 · 39 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1296,-17955] |
[a1,a2,a3,a4,a6] |
j |
764411904/143 |
j-invariant |
L |
1.5914140031997 |
L(r)(E,1)/r! |
Ω |
0.79570700159983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20592t1 82368b1 5148a1 128700c1 |
Quadratic twists by: -4 8 -3 5 |