Atkin-Lehner |
2+ 3- 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
110664f |
Isogeny class |
Conductor |
110664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
297984 |
Modular degree for the optimal curve |
Δ |
-55966138361856 = -1 · 211 · 36 · 294 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 -5 -4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39747,3071198] |
[a1,a2,a3,a4,a6] |
Generators |
[482:7569:8] |
Generators of the group modulo torsion |
j |
-4651352954498/37485893 |
j-invariant |
L |
4.4686479154971 |
L(r)(E,1)/r! |
Ω |
0.63118333013689 |
Real period |
R |
1.7699484770718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12296a1 |
Quadratic twists by: -3 |