Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6292a |
Isogeny class |
Conductor |
6292 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-57584384 = -1 · 28 · 113 · 132 |
Discriminant |
Eigenvalues |
2- -3 -1 -4 11+ 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88,484] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:11:1] [-8:26:1] |
Generators of the group modulo torsion |
j |
-221184/169 |
j-invariant |
L |
3.121805405548 |
L(r)(E,1)/r! |
Ω |
1.8201668037545 |
Real period |
R |
0.14292670865426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25168o1 100672d1 56628e1 6292b1 |
Quadratic twists by: -4 8 -3 -11 |