Atkin-Lehner |
2- 3- 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
53010bs |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
5152572000 = 25 · 37 · 53 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-437,749] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:-44:1] |
Generators of the group modulo torsion |
j |
12633057289/7068000 |
j-invariant |
L |
9.61900000964 |
L(r)(E,1)/r! |
Ω |
1.1777763288486 |
Real period |
R |
0.13611809212012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17670b1 |
Quadratic twists by: -3 |