Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9438w |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3888 |
Modular degree for the optimal curve |
Δ |
-247690872 = -1 · 23 · 39 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 13- 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52,749] |
[a1,a2,a3,a4,a6] |
j |
-128667913/2047032 |
j-invariant |
L |
4.4455003052078 |
L(r)(E,1)/r! |
Ω |
1.4818334350693 |
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 |
75504cy1 28314bb1 9438d1 122694w1 |
Quadratic twists by: -4 -3 -11 13 |