Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16368b |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
305865899615232 = 210 · 35 · 113 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105248,-13080240] |
[a1,a2,a3,a4,a6] |
j |
125912671148474500/298697167593 |
j-invariant |
L |
1.5905924136833 |
L(r)(E,1)/r! |
Ω |
0.26509873561389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8184h1 65472cd1 49104g1 |
Quadratic twists by: -4 8 -3 |