Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1078k |
Isogeny class |
Conductor |
1078 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
4312 = 23 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -3 -2 7- 11+ 7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] |
Generators of the group modulo torsion |
j |
415233/88 |
j-invariant |
L |
2.2113215861322 |
L(r)(E,1)/r! |
Ω |
3.137839064531 |
Real period |
R |
0.23490917801024 |
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 |
8624bc1 34496bu1 9702y1 26950s1 |
Quadratic twists by: -4 8 -3 5 |