Atkin-Lehner |
3- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20349g |
Isogeny class |
Conductor |
20349 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6.7013593864944E+20 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4093983,2936051874] |
[a1,a2,a3,a4,a6] |
j |
10409607351987143458033/919253688133664583 |
j-invariant |
L |
1.2590917154735 |
L(r)(E,1)/r! |
Ω |
0.15738646443419 |
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 |
6783c4 |
Quadratic twists by: -3 |