Atkin-Lehner |
2- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48944z |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-19373917782016 = -1 · 214 · 76 · 19 · 232 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 0 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3856,191956] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:224:1] [-14:368:1] |
Generators of the group modulo torsion |
j |
1547612421263/4729960396 |
j-invariant |
L |
6.3407390575336 |
L(r)(E,1)/r! |
Ω |
0.48376909499349 |
Real period |
R |
1.0922461292576 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6118h2 |
Quadratic twists by: -4 |