Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10192r |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-22452233043968 = -1 · 221 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 1 0 7- 3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5472,-164620] |
[a1,a2,a3,a4,a6] |
Generators |
[894:6272:27] |
Generators of the group modulo torsion |
j |
37595375/46592 |
j-invariant |
L |
5.312255048278 |
L(r)(E,1)/r! |
Ω |
0.36292273191511 |
Real period |
R |
1.8296783933338 |
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 |
1274i1 40768do1 91728dt1 1456g1 |
Quadratic twists by: -4 8 -3 -7 |