Atkin-Lehner |
3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
94269d |
Isogeny class |
Conductor |
94269 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15048 |
Modular degree for the optimal curve |
Δ |
94269 = 3 · 7 · 672 |
Discriminant |
Eigenvalues |
2 3+ -3 7+ -2 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-22,45] |
[a1,a2,a3,a4,a6] |
j |
274432/21 |
j-invariant |
L |
3.3077955151931 |
L(r)(E,1)/r! |
Ω |
3.3077955876544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94269l1 |
Quadratic twists by: -67 |