Atkin-Lehner |
3- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17595q |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
101780300925 = 39 · 52 · 17 · 233 |
Discriminant |
Eigenvalues |
2 3- 5- 1 -2 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2487,-45203] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:331:8] |
Generators of the group modulo torsion |
j |
2333584543744/139616325 |
j-invariant |
L |
10.907006991441 |
L(r)(E,1)/r! |
Ω |
0.67858188991465 |
Real period |
R |
4.0183090477161 |
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 |
5865a1 87975bf1 |
Quadratic twists by: -3 5 |