Atkin-Lehner |
3+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17595i |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
744866455078125 = 33 · 512 · 173 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 0 -1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-44682,-3389925] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:42:1] |
Generators of the group modulo torsion |
j |
365390928210198528/27587646484375 |
j-invariant |
L |
4.2049358912881 |
L(r)(E,1)/r! |
Ω |
0.32994019025137 |
Real period |
R |
1.593067476898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17595a2 87975d1 |
Quadratic twists by: -3 5 |