Atkin-Lehner |
2- 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
2928k |
Isogeny class |
Conductor |
2928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-728580096 = -1 · 214 · 36 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 3 -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72,-1296] |
[a1,a2,a3,a4,a6] |
Generators |
[18:54:1] |
Generators of the group modulo torsion |
j |
-10218313/177876 |
j-invariant |
L |
2.4770188302156 |
L(r)(E,1)/r! |
Ω |
0.68941778041174 |
Real period |
R |
0.89822851273731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
366f1 11712bh1 8784y1 73200co1 |
Quadratic twists by: -4 8 -3 5 |