Atkin-Lehner |
11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98549i |
Isogeny class |
Conductor |
98549 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-51935323 = -1 · 11 · 173 · 312 |
Discriminant |
Eigenvalues |
0 -2 -2 3 11- 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,91,-69] |
[a1,a2,a3,a4,a6] |
Generators |
[3:15:1] |
Generators of the group modulo torsion |
j |
16777216/10571 |
j-invariant |
L |
3.1642344674285 |
L(r)(E,1)/r! |
Ω |
1.1487949543517 |
Real period |
R |
0.6885986226237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999192665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98549b1 |
Quadratic twists by: 17 |