Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11424m |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10235904 = 212 · 3 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13329,596769] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1040:1] |
Generators of the group modulo torsion |
j |
63942417278272/2499 |
j-invariant |
L |
3.1887744536636 |
L(r)(E,1)/r! |
Ω |
1.6947338462289 |
Real period |
R |
3.7631566287051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11424k2 22848bd1 34272i4 79968cl4 |
Quadratic twists by: -4 8 -3 -7 |