Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600dx |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9585216000000000 = 215 · 34 · 59 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69208,5165588] |
[a1,a2,a3,a4,a6] |
Generators |
[-292:750:1] |
Generators of the group modulo torsion |
j |
4582567781/1198152 |
j-invariant |
L |
6.5675424892524 |
L(r)(E,1)/r! |
Ω |
0.38255557056547 |
Real period |
R |
2.1459439472808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450h2 51600cj2 |
Quadratic twists by: -4 5 |