Atkin-Lehner |
2+ 3- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
49776d |
Isogeny class |
Conductor |
49776 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1165953024 = 211 · 32 · 17 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-664,-6604] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:12:1] |
Generators of the group modulo torsion |
j |
15832587314/569313 |
j-invariant |
L |
5.2902214102932 |
L(r)(E,1)/r! |
Ω |
0.94245825202213 |
Real period |
R |
1.4033039126512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24888b2 |
Quadratic twists by: -4 |