Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600dv |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-415538085888000 = -1 · 233 · 32 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3328,-984652] |
[a1,a2,a3,a4,a6] |
Generators |
[4206:40960:27] |
Generators of the group modulo torsion |
j |
-7964053973/811597824 |
j-invariant |
L |
6.735830096277 |
L(r)(E,1)/r! |
Ω |
0.23522353704846 |
Real period |
R |
1.7897417337471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450be1 51600ce1 |
Quadratic twists by: -4 5 |