Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488be |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
104320991232 = 218 · 34 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1473,14751] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:120:1] [-21:192:1] |
Generators of the group modulo torsion |
j |
274625/81 |
j-invariant |
L |
10.245807116622 |
L(r)(E,1)/r! |
Ω |
0.98461707836546 |
Real period |
R |
1.3007349940581 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488ce1 867b1 55488c1 |
Quadratic twists by: -4 8 17 |