Atkin-Lehner |
3- 7+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
28119b |
Isogeny class |
Conductor |
28119 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
-260410059 = -1 · 34 · 74 · 13 · 103 |
Discriminant |
Eigenvalues |
0 3- -1 7+ -4 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1461,-22003] |
[a1,a2,a3,a4,a6] |
Generators |
[45:73:1] |
Generators of the group modulo torsion |
j |
-345121157545984/260410059 |
j-invariant |
L |
4.4502122256177 |
L(r)(E,1)/r! |
Ω |
0.38606691388535 |
Real period |
R |
1.4408811224041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84357d1 |
Quadratic twists by: -3 |