Atkin-Lehner |
2- 3+ 7+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
38346g |
Isogeny class |
Conductor |
38346 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
18304 |
Modular degree for the optimal curve |
Δ |
-471195648 = -1 · 213 · 32 · 7 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ -3 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,31,1055] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:16:1] [-50:227:8] |
Generators of the group modulo torsion |
j |
3288008303/471195648 |
j-invariant |
L |
9.8809273527808 |
L(r)(E,1)/r! |
Ω |
1.2799287125875 |
Real period |
R |
0.29691940158633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115038p1 |
Quadratic twists by: -3 |