Atkin-Lehner |
3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175bc |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1142784 |
Modular degree for the optimal curve |
Δ |
-14322571268526675 = -1 · 312 · 52 · 78 · 11 · 17 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 11- 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-159068,-25141471] |
[a1,a2,a3,a4,a6] |
Generators |
[8186594:25079261:17576] |
Generators of the group modulo torsion |
j |
-17804709639190958080/572902850741067 |
j-invariant |
L |
17.087982675677 |
L(r)(E,1)/r! |
Ω |
0.11930310335908 |
Real period |
R |
5.9679862352235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98175r1 |
Quadratic twists by: 5 |