Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560bk |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
34058880000000 = 213 · 36 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 5 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-351387,80172234] |
[a1,a2,a3,a4,a6] |
Generators |
[373:-1000:1] |
Generators of the group modulo torsion |
j |
1606916486137689/11406250 |
j-invariant |
L |
6.4249864607982 |
L(r)(E,1)/r! |
Ω |
0.58557882136126 |
Real period |
R |
0.39185809629919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6570ba1 5840g1 |
Quadratic twists by: -4 -3 |