Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
8784h |
Isogeny class |
Conductor |
8784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-4917915648 = -1 · 212 · 39 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,405,1242] |
[a1,a2,a3,a4,a6] |
j |
91125/61 |
j-invariant |
L |
1.7184293286749 |
L(r)(E,1)/r! |
Ω |
0.85921466433743 |
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 |
549b1 35136bl1 8784g1 |
Quadratic twists by: -4 8 -3 |