Atkin-Lehner |
2- 7+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
9394k |
Isogeny class |
Conductor |
9394 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
460306 = 2 · 73 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 11- 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46,-135] |
[a1,a2,a3,a4,a6] |
j |
10779215329/460306 |
j-invariant |
L |
1.8378287519542 |
L(r)(E,1)/r! |
Ω |
1.8378287519542 |
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 |
75152m1 84546m1 65758t1 103334l1 |
Quadratic twists by: -4 -3 -7 -11 |