Atkin-Lehner |
3+ 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17391c |
Isogeny class |
Conductor |
17391 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-467417907 = -1 · 32 · 11 · 173 · 312 |
Discriminant |
Eigenvalues |
2 3+ 0 -1 11- 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-118,-1113] |
[a1,a2,a3,a4,a6] |
Generators |
[154:461:8] |
Generators of the group modulo torsion |
j |
-183250432000/467417907 |
j-invariant |
L |
7.954046545682 |
L(r)(E,1)/r! |
Ω |
0.67359175402244 |
Real period |
R |
2.9521021071678 |
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 |
52173l1 |
Quadratic twists by: -3 |