Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41952q |
Isogeny class |
Conductor |
41952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-1764046024704 = -1 · 212 · 34 · 19 · 234 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 3 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3149,92283] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:276:1] |
Generators of the group modulo torsion |
j |
-843372923392/430675299 |
j-invariant |
L |
9.2259461733556 |
L(r)(E,1)/r! |
Ω |
0.77993921983316 |
Real period |
R |
0.36965805871234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41952k1 83904bd1 125856p1 |
Quadratic twists by: -4 8 -3 |