Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110466bt |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
4900443200856539136 = 214 · 39 · 17 · 197 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 4 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-451679,-47929017] |
[a1,a2,a3,a4,a6] |
Generators |
[-261:7350:1] |
Generators of the group modulo torsion |
j |
297141543217/142884864 |
j-invariant |
L |
13.367276594433 |
L(r)(E,1)/r! |
Ω |
0.193182529731 |
Real period |
R |
1.2356260559953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36822c1 5814f1 |
Quadratic twists by: -3 -19 |