Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040t |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-61102080 = -1 · 211 · 33 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 1 13+ 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,64,-300] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
13935742/29835 |
j-invariant |
L |
5.8852815793839 |
L(r)(E,1)/r! |
Ω |
1.0245573222424 |
Real period |
R |
0.95736982395646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26520m1 |
Quadratic twists by: -4 |