Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28028c |
Isogeny class |
Conductor |
28028 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
10202192 = 24 · 73 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56,49] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:13:1] |
Generators of the group modulo torsion |
j |
3538944/1859 |
j-invariant |
L |
3.72254744213 |
L(r)(E,1)/r! |
Ω |
2.0094152017416 |
Real period |
R |
0.61751754754381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112112bj1 28028g1 |
Quadratic twists by: -4 -7 |