Atkin-Lehner |
2+ 3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
48336l |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
28565415936 = 211 · 36 · 192 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 2 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2432,-44640] |
[a1,a2,a3,a4,a6] |
Generators |
[-690:350:27] |
Generators of the group modulo torsion |
j |
777075174146/13947957 |
j-invariant |
L |
6.2507231404001 |
L(r)(E,1)/r! |
Ω |
0.6805607612219 |
Real period |
R |
4.5923328941061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24168q2 |
Quadratic twists by: -4 |