Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28730ba |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
162240 |
Modular degree for the optimal curve |
Δ |
-681306455486410 = -1 · 2 · 5 · 138 · 174 |
Discriminant |
Eigenvalues |
2- -2 5- 1 3 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,21375,-359165] |
[a1,a2,a3,a4,a6] |
Generators |
[18369414:231775979:941192] |
Generators of the group modulo torsion |
j |
1324018319/835210 |
j-invariant |
L |
6.6538140513342 |
L(r)(E,1)/r! |
Ω |
0.29307272952859 |
Real period |
R |
11.351813698321 |
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 |
28730d1 |
Quadratic twists by: 13 |