Atkin-Lehner |
3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
7395m |
Isogeny class |
Conductor |
7395 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
142238351025 = 34 · 52 · 174 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1305,0] |
[a1,a2,a3,a4,a6] |
Generators |
[2535:126360:1] |
Generators of the group modulo torsion |
j |
245796699240721/142238351025 |
j-invariant |
L |
3.5721242902771 |
L(r)(E,1)/r! |
Ω |
0.87319681192733 |
Real period |
R |
4.0908581450185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
118320bz2 22185i2 36975g2 125715g2 |
Quadratic twists by: -4 -3 5 17 |