Atkin-Lehner |
2+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1078b |
Isogeny class |
Conductor |
1078 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
32467359232 = 29 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ -3 -4 7+ 11+ -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30634,-2056076] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:53:1] |
Generators of the group modulo torsion |
j |
551516475321/5632 |
j-invariant |
L |
0.90250724868861 |
L(r)(E,1)/r! |
Ω |
0.36086788081553 |
Real period |
R |
2.5009353746003 |
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 |
8624o1 34496j1 9702br1 26950bu1 |
Quadratic twists by: -4 8 -3 5 |