Atkin-Lehner |
2+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1078a |
Isogeny class |
Conductor |
1078 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
25565848 = 23 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 11+ -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-271,-1718] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:8:1] |
Generators of the group modulo torsion |
j |
911871625/10648 |
j-invariant |
L |
2.1468288237337 |
L(r)(E,1)/r! |
Ω |
1.1780288527521 |
Real period |
R |
0.60746356614222 |
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 |
8624m2 34496f2 9702bn2 26950bs2 |
Quadratic twists by: -4 8 -3 5 |