Atkin-Lehner |
2+ 3- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550ba |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
2964000 |
Modular degree for the optimal curve |
Δ |
8372805667200000000 = 213 · 35 · 58 · 135 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 2 13- 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11304701,-14630022952] |
[a1,a2,a3,a4,a6] |
j |
409016532427702875625/21434382508032 |
j-invariant |
L |
2.0583828902486 |
L(r)(E,1)/r! |
Ω |
0.082335315658088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56550bd1 |
Quadratic twists by: 5 |