Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650ce |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-65214843750 = -1 · 2 · 32 · 510 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,12281] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:825:8] |
Generators of the group modulo torsion |
j |
-25/6678 |
j-invariant |
L |
7.8727820567674 |
L(r)(E,1)/r! |
Ω |
0.87789186171627 |
Real period |
R |
4.483913338364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650bn1 |
Quadratic twists by: 5 |