Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576cw |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
36288986137755648 = 234 · 3 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2821857,1825446273] |
[a1,a2,a3,a4,a6] |
j |
9479576797126950457/138431496192 |
j-invariant |
L |
2.0068859435167 |
L(r)(E,1)/r! |
Ω |
0.33448099059525 |
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 |
48576ba1 12144bh1 |
Quadratic twists by: -4 8 |