Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28028j |
Isogeny class |
Conductor |
28028 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
204120 |
Modular degree for the optimal curve |
Δ |
-9462527635953392 = -1 · 24 · 710 · 115 · 13 |
Discriminant |
Eigenvalues |
2- -3 0 7- 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60025,-7344659] |
[a1,a2,a3,a4,a6] |
j |
-5292000000/2093663 |
j-invariant |
L |
0.74791191505204 |
L(r)(E,1)/r! |
Ω |
0.14958238301034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112112be1 28028b1 |
Quadratic twists by: -4 -7 |