Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ka |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-338688000000 = -1 · 214 · 33 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,900,-26000] |
[a1,a2,a3,a4,a6] |
Generators |
[45:325:1] |
Generators of the group modulo torsion |
j |
11664/49 |
j-invariant |
L |
5.0729604564169 |
L(r)(E,1)/r! |
Ω |
0.48633105643178 |
Real period |
R |
2.6077711855072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800o2 25200m2 100800jz2 4032t2 |
Quadratic twists by: -4 8 -3 5 |