Atkin-Lehner |
3+ 13- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
28509c |
Isogeny class |
Conductor |
28509 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
62520237 = 32 · 13 · 172 · 432 |
Discriminant |
Eigenvalues |
-1 3+ -4 -4 0 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-115,236] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:27:1] [-4:27:1] |
Generators of the group modulo torsion |
j |
168288035761/62520237 |
j-invariant |
L |
3.0004734068794 |
L(r)(E,1)/r! |
Ω |
1.7981324803231 |
Real period |
R |
0.83433046221964 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85527g2 |
Quadratic twists by: -3 |