Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
55272bd |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
Δ |
4.6008613098429E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-368659552,-2724424532320] |
[a1,a2,a3,a4,a6] |
j |
22997572353926913873314/1909505657886363 |
j-invariant |
L |
1.5159958821211 |
L(r)(E,1)/r! |
Ω |
0.034454451897359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544r2 1128d2 |
Quadratic twists by: -4 -7 |