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 |
deg |
96 |
Modular degree for the optimal curve |
Δ |
52822 = 2 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 11+ -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,46] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:10:1] |
Generators of the group modulo torsion |
j |
765625/22 |
j-invariant |
L |
2.1468288237337 |
L(r)(E,1)/r! |
Ω |
3.5340865582564 |
Real period |
R |
1.8223906984266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8624m1 34496f1 9702bn1 26950bs1 |
Quadratic twists by: -4 8 -3 5 |