Atkin-Lehner |
2- 3- 13- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38454k |
Isogeny class |
Conductor |
38454 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-575887104 = -1 · 28 · 33 · 132 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,208,0] |
[a1,a2,a3,a4,a6] |
Generators |
[4:28:1] |
Generators of the group modulo torsion |
j |
994908665087/575887104 |
j-invariant |
L |
12.105457061281 |
L(r)(E,1)/r! |
Ω |
0.9745061728193 |
Real period |
R |
1.0351787567662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115362i1 |
Quadratic twists by: -3 |