Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ia |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2496960000000 = -1 · 212 · 33 · 57 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3367,-10137] |
[a1,a2,a3,a4,a6] |
Generators |
[37:408:1] |
Generators of the group modulo torsion |
j |
65939264/39015 |
j-invariant |
L |
8.8259285368492 |
L(r)(E,1)/r! |
Ω |
0.47651776244532 |
Real period |
R |
1.5434766607295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600fn1 40800bh1 16320ce1 |
Quadratic twists by: -4 8 5 |