Atkin-Lehner |
2- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
41552v |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
4888551248 = 24 · 78 · 53 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 3 -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-457,-1842] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:125:8] |
Generators of the group modulo torsion |
j |
114688/53 |
j-invariant |
L |
4.7580961073941 |
L(r)(E,1)/r! |
Ω |
1.0791117794372 |
Real period |
R |
4.4092708448359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10388b1 41552bs1 |
Quadratic twists by: -4 -7 |