Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
28140o |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
11077592400 = 24 · 310 · 52 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-561,-936] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:45:1] |
Generators of the group modulo torsion |
j |
1222548865024/692349525 |
j-invariant |
L |
6.5803366592855 |
L(r)(E,1)/r! |
Ω |
1.0580415716849 |
Real period |
R |
0.41462369944543 |
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 |
112560be1 84420bc1 |
Quadratic twists by: -4 -3 |