Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760be |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
169728 |
Modular degree for the optimal curve |
Δ |
-202440757248000 = -1 · 215 · 313 · 53 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -5 -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-240545,45334143] |
[a1,a2,a3,a4,a6] |
Generators |
[571:9720:1] |
Generators of the group modulo torsion |
j |
-46974761601263432/6178001625 |
j-invariant |
L |
7.0809850123191 |
L(r)(E,1)/r! |
Ω |
0.54361070393682 |
Real period |
R |
0.08349896210179 |
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 |
29760r1 14880a1 89280bc1 |
Quadratic twists by: -4 8 -3 |