Atkin-Lehner |
3- 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17391f |
Isogeny class |
Conductor |
17391 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
25959923136873 = 35 · 113 · 174 · 312 |
Discriminant |
Eigenvalues |
1 3- 2 2 11+ -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9725,-276757] |
[a1,a2,a3,a4,a6] |
Generators |
[918:2327:8] |
Generators of the group modulo torsion |
j |
101701731118239433/25959923136873 |
j-invariant |
L |
8.5166677136378 |
L(r)(E,1)/r! |
Ω |
0.489813850112 |
Real period |
R |
3.4775120024435 |
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 |
52173q1 |
Quadratic twists by: -3 |