Atkin-Lehner |
3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
94269b |
Isogeny class |
Conductor |
94269 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
861696 |
Modular degree for the optimal curve |
Δ |
-230240373174615447 = -1 · 34 · 7 · 678 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 4 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47228,23401892] |
[a1,a2,a3,a4,a6] |
j |
-128787625/2545263 |
j-invariant |
L |
0.52808203278252 |
L(r)(E,1)/r! |
Ω |
0.26404106497163 |
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 |
1407e1 |
Quadratic twists by: -67 |