Atkin-Lehner |
2+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38686a |
Isogeny class |
Conductor |
38686 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4080 |
Modular degree for the optimal curve |
Δ |
-38686 = -1 · 2 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 2 1 2 -3 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17,-37] |
[a1,a2,a3,a4,a6] |
Generators |
[523:11713:1] |
Generators of the group modulo torsion |
j |
-707281/46 |
j-invariant |
L |
7.2824038565701 |
L(r)(E,1)/r! |
Ω |
1.1623900451379 |
Real period |
R |
6.2650260014107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38686f1 |
Quadratic twists by: 29 |