Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800oq |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2633637888000 = -1 · 216 · 38 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2580,59600] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-432:1] [-14:144:1] |
Generators of the group modulo torsion |
j |
318028/441 |
j-invariant |
L |
11.406205777375 |
L(r)(E,1)/r! |
Ω |
0.54734073216952 |
Real period |
R |
1.3024571700423 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800hp2 25200bz2 33600fj2 100800pp2 |
Quadratic twists by: -4 8 -3 5 |