Atkin-Lehner |
2- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
53404h |
Isogeny class |
Conductor |
53404 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9288 |
Modular degree for the optimal curve |
Δ |
-213616 = -1 · 24 · 132 · 79 |
Discriminant |
Eigenvalues |
2- -2 -3 -2 3 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82,261] |
[a1,a2,a3,a4,a6] |
Generators |
[5:1:1] |
Generators of the group modulo torsion |
j |
-22826752/79 |
j-invariant |
L |
3.2086265620717 |
L(r)(E,1)/r! |
Ω |
3.1717417600467 |
Real period |
R |
1.0116291945796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53404g1 |
Quadratic twists by: 13 |