Atkin-Lehner |
3+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
10197d |
Isogeny class |
Conductor |
10197 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1088 |
Modular degree for the optimal curve |
Δ |
-336501 = -1 · 33 · 112 · 103 |
Discriminant |
Eigenvalues |
-1 3+ -3 2 11- 5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[6:13:1] |
Generators of the group modulo torsion |
j |
17779581/12463 |
j-invariant |
L |
2.4823710465517 |
L(r)(E,1)/r! |
Ω |
1.716237539221 |
Real period |
R |
0.36160073850828 |
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 |
10197b1 112167g1 |
Quadratic twists by: -3 -11 |