Atkin-Lehner |
3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775be |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
20332265625 = 37 · 57 · 7 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8442,300591] |
[a1,a2,a3,a4,a6] |
Generators |
[462:219:8] |
Generators of the group modulo torsion |
j |
5841725401/1785 |
j-invariant |
L |
5.4397770409784 |
L(r)(E,1)/r! |
Ω |
1.1891344357711 |
Real period |
R |
1.1436421478811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8925r1 5355h1 |
Quadratic twists by: -3 5 |