Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840w |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
20632449600 = 26 · 36 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11970,-508032] |
[a1,a2,a3,a4,a6] |
j |
2963892656833984/322382025 |
j-invariant |
L |
2.7385903838736 |
L(r)(E,1)/r! |
Ω |
0.45643173025186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63840bm1 127680r2 |
Quadratic twists by: -4 8 |