Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688dt |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-2039536044048384 = -1 · 215 · 33 · 72 · 196 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13624,-2261932] |
[a1,a2,a3,a4,a6] |
Generators |
[1196:41154:1] |
Generators of the group modulo torsion |
j |
-1393520833033/10161910296 |
j-invariant |
L |
9.2815908257526 |
L(r)(E,1)/r! |
Ω |
0.19564090449179 |
Real period |
R |
1.317832628364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5586e2 44688bp2 |
Quadratic twists by: -4 -7 |