Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600ch |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1831841280000 = -1 · 212 · 32 · 54 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35733,2612637] |
[a1,a2,a3,a4,a6] |
Generators |
[108:39:1] |
Generators of the group modulo torsion |
j |
-1971080396800/715563 |
j-invariant |
L |
4.8614600657278 |
L(r)(E,1)/r! |
Ω |
0.81951162445765 |
Real period |
R |
2.9660714507228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3225j2 51600dg2 |
Quadratic twists by: -4 5 |