Atkin-Lehner |
2+ 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
27560c |
Isogeny class |
Conductor |
27560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
2980889600 = 210 · 52 · 133 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38800,2954652] |
[a1,a2,a3,a4,a6] |
Generators |
[13845:7578:125] |
Generators of the group modulo torsion |
j |
6308558364916804/2911025 |
j-invariant |
L |
7.0973726026598 |
L(r)(E,1)/r! |
Ω |
1.1638096975826 |
Real period |
R |
6.098396170269 |
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 |
55120e1 |
Quadratic twists by: -4 |