Atkin-Lehner |
2+ 3- 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
10506d |
Isogeny class |
Conductor |
10506 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1012441871808 = 26 · 312 · 172 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-35416,2561894] |
[a1,a2,a3,a4,a6] |
Generators |
[49:947:1] |
Generators of the group modulo torsion |
j |
4912523165427333625/1012441871808 |
j-invariant |
L |
4.3262344489718 |
L(r)(E,1)/r! |
Ω |
0.85270759278697 |
Real period |
R |
0.42279386329375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84048r2 31518m2 |
Quadratic twists by: -4 -3 |