Atkin-Lehner |
3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
7395m |
Isogeny class |
Conductor |
7395 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16754296875 = 3 · 58 · 17 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-228765,-42133650] |
[a1,a2,a3,a4,a6] |
Generators |
[4990:58405:8] |
Generators of the group modulo torsion |
j |
1324013981269137345361/16754296875 |
j-invariant |
L |
3.5721242902771 |
L(r)(E,1)/r! |
Ω |
0.21829920298183 |
Real period |
R |
4.0908581450185 |
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 |
118320bz6 22185i6 36975g6 125715g6 |
Quadratic twists by: -4 -3 5 17 |