Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510dc |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
9633792 |
Modular degree for the optimal curve |
Δ |
2.1323468291674E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87502568,-314243655253] |
[a1,a2,a3,a4,a6] |
j |
863913648706111516969/2486234429521920 |
j-invariant |
L |
2.7647604614883 |
L(r)(E,1)/r! |
Ω |
0.049370722526652 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bh1 6930be1 |
Quadratic twists by: -3 -7 |