Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800c |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-677376000000000000 = -1 · 221 · 33 · 512 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,117300,36454000] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:1600:1] |
Generators of the group modulo torsion |
j |
1613964717/6125000 |
j-invariant |
L |
6.6322742541823 |
L(r)(E,1)/r! |
Ω |
0.20414873327926 |
Real period |
R |
2.0304663910089 |
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 |
100800jn2 3150b2 100800d4 20160h2 |
Quadratic twists by: -4 8 -3 5 |