Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800c |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
553063956480000000 = 220 · 39 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1514700,-716634000] |
[a1,a2,a3,a4,a6] |
Generators |
[388943490:-30893795200:59319] |
Generators of the group modulo torsion |
j |
4767078987/6860 |
j-invariant |
L |
6.6322742541823 |
L(r)(E,1)/r! |
Ω |
0.13609915551951 |
Real period |
R |
12.182798346054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999805991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800jn3 3150b3 100800d1 20160h3 |
Quadratic twists by: -4 8 -3 5 |