Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575t |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
437306158447265625 = 3 · 514 · 77 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3994750,-3074641625] |
[a1,a2,a3,a4,a6] |
Generators |
[169716:4435489:64] |
Generators of the group modulo torsion |
j |
3835168345623889/237890625 |
j-invariant |
L |
4.7059866440784 |
L(r)(E,1)/r! |
Ω |
0.10678954978133 |
Real period |
R |
11.016964368465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999673119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21315x4 15225p4 |
Quadratic twists by: 5 -7 |