Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688ds |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-48397104 = -1 · 24 · 32 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2529,-49806] |
[a1,a2,a3,a4,a6] |
Generators |
[90:678:1] |
Generators of the group modulo torsion |
j |
-2282579181568/61731 |
j-invariant |
L |
8.5488697570984 |
L(r)(E,1)/r! |
Ω |
0.33660250016451 |
Real period |
R |
4.2329205085752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11172i2 44688bo2 |
Quadratic twists by: -4 -7 |