Atkin-Lehner |
3- 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
46431f |
Isogeny class |
Conductor |
46431 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
9099791189181 = 36 · 73 · 112 · 673 |
Discriminant |
Eigenvalues |
-1 3- -1 7+ 11+ 1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-210803,37305510] |
[a1,a2,a3,a4,a6] |
Generators |
[264:-99:1] |
Generators of the group modulo torsion |
j |
1421099916246680041/12482566789 |
j-invariant |
L |
2.9026620262209 |
L(r)(E,1)/r! |
Ω |
0.657814075269 |
Real period |
R |
0.73543121462115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5159f1 |
Quadratic twists by: -3 |