Atkin-Lehner |
2+ 3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698t |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.7795934898372E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7190793,6976745869] |
[a1,a2,a3,a4,a6] |
Generators |
[1043:24188:1] |
Generators of the group modulo torsion |
j |
56406165681818487184273/3812885445592906368 |
j-invariant |
L |
3.2364295486299 |
L(r)(E,1)/r! |
Ω |
0.14071515709649 |
Real period |
R |
0.71874576613926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13566n4 |
Quadratic twists by: -3 |