Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
726c |
Isogeny class |
Conductor |
726 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
116923026 = 2 · 3 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42594,3365850] |
[a1,a2,a3,a4,a6] |
j |
4824238966273/66 |
j-invariant |
L |
1.3230677870826 |
L(r)(E,1)/r! |
Ω |
1.3230677870826 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5808bf3 23232cg4 2178k3 18150dc3 |
Quadratic twists by: -4 8 -3 5 |