Atkin-Lehner |
2+ 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9438b |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-2639049826063851486 = -1 · 2 · 316 · 119 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 11+ 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3107524,2108635654] |
[a1,a2,a3,a4,a6] |
j |
-1407450852604763/1119214746 |
j-invariant |
L |
1.0166815586471 |
L(r)(E,1)/r! |
Ω |
0.25417038966178 |
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 |
75504ce1 28314bn1 9438s1 122694ca1 |
Quadratic twists by: -4 -3 -11 13 |