Atkin-Lehner |
2+ 3+ 5- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990d |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-6.4325134962996E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- -7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2702634,-2100169612] |
[a1,a2,a3,a4,a6] |
Generators |
[124948:440941:64] |
Generators of the group modulo torsion |
j |
-110916004861742079987/32680554266624000 |
j-invariant |
L |
4.7610637396633 |
L(r)(E,1)/r! |
Ω |
0.057992759792848 |
Real period |
R |
6.841462843991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99990m1 |
Quadratic twists by: -3 |