Atkin-Lehner |
2+ 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110466v |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
-1217330964988416 = -1 · 29 · 318 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 6 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-210996,37394896] |
[a1,a2,a3,a4,a6] |
j |
-3947415173271577/4625662464 |
j-invariant |
L |
0.96834953087931 |
L(r)(E,1)/r! |
Ω |
0.48417460410204 |
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 |
36822q1 110466bn1 |
Quadratic twists by: -3 -19 |