Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400di |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26453952000000 = 212 · 310 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11100,376000] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:900:1] |
Generators of the group modulo torsion |
j |
3241792/567 |
j-invariant |
L |
5.5820544076394 |
L(r)(E,1)/r! |
Ω |
0.63703118453526 |
Real period |
R |
1.0953259713011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400dv3 100800ma1 16800q2 2016g3 |
Quadratic twists by: -4 8 -3 5 |