Atkin-Lehner |
2- 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
53754l |
Isogeny class |
Conductor |
53754 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
120666652214418 = 2 · 32 · 178 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24571,-1395289] |
[a1,a2,a3,a4,a6] |
Generators |
[37940:869673:64] |
Generators of the group modulo torsion |
j |
67967263441/4999122 |
j-invariant |
L |
9.0655135261027 |
L(r)(E,1)/r! |
Ω |
0.38309492200659 |
Real period |
R |
5.9159708241628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3162b2 |
Quadratic twists by: 17 |