Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575t |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
426111120791015625 = 32 · 510 · 78 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-264625,-42050000] |
[a1,a2,a3,a4,a6] |
Generators |
[1044:28130:1] |
Generators of the group modulo torsion |
j |
1114835073409/231800625 |
j-invariant |
L |
4.7059866440784 |
L(r)(E,1)/r! |
Ω |
0.21357909956265 |
Real period |
R |
5.5084821842327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999673119 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21315x2 15225p2 |
Quadratic twists by: 5 -7 |