Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
8784y |
Isogeny class |
Conductor |
8784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-531134889984 = -1 · 214 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -3 -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651,35642] |
[a1,a2,a3,a4,a6] |
j |
-10218313/177876 |
j-invariant |
L |
3.1225033813025 |
L(r)(E,1)/r! |
Ω |
0.78062584532562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1098l1 35136cc1 2928k1 |
Quadratic twists by: -4 8 -3 |