Atkin-Lehner |
3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
28899f |
Isogeny class |
Conductor |
28899 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-10807561323 = -1 · 311 · 132 · 192 |
Discriminant |
Eigenvalues |
-2 3- -2 -3 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,429,-3650] |
[a1,a2,a3,a4,a6] |
Generators |
[10:40:1] [16:85:1] |
Generators of the group modulo torsion |
j |
70873088/87723 |
j-invariant |
L |
3.5181136264337 |
L(r)(E,1)/r! |
Ω |
0.68597936644583 |
Real period |
R |
0.64107497224393 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9633b1 28899o1 |
Quadratic twists by: -3 13 |