Atkin-Lehner |
3+ 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17595j |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
76274325 = 33 · 52 · 173 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 5- 1 4 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-147,542] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-128:1] |
Generators of the group modulo torsion |
j |
13011038208/2824975 |
j-invariant |
L |
3.1069853059872 |
L(r)(E,1)/r! |
Ω |
1.8269686312936 |
Real period |
R |
0.14171860300758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17595b1 87975f1 |
Quadratic twists by: -3 5 |