Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11424m |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-169725362688 = -1 · 29 · 34 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-344,20088] |
[a1,a2,a3,a4,a6] |
Generators |
[37:238:1] |
Generators of the group modulo torsion |
j |
-8818423496/331494849 |
j-invariant |
L |
3.1887744536636 |
L(r)(E,1)/r! |
Ω |
0.84736692311447 |
Real period |
R |
0.94078915717627 |
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 |
11424k4 22848bd3 34272i2 79968cl2 |
Quadratic twists by: -4 8 -3 -7 |