Atkin-Lehner |
2- 3+ 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
101616h |
Isogeny class |
Conductor |
101616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
582912 |
Modular degree for the optimal curve |
Δ |
-14836735122856704 = -1 · 28 · 311 · 292 · 733 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 4 -6 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28141,6145009] |
[a1,a2,a3,a4,a6] |
Generators |
[120:2117:1] |
Generators of the group modulo torsion |
j |
-9627593788432384/57955996573659 |
j-invariant |
L |
4.5213818023177 |
L(r)(E,1)/r! |
Ω |
0.34044723537334 |
Real period |
R |
1.1067260245932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25404e1 |
Quadratic twists by: -4 |