Atkin-Lehner |
3- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20349g |
Isogeny class |
Conductor |
20349 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
63597353411114649 = 316 · 72 · 174 · 192 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4002948,3083583195] |
[a1,a2,a3,a4,a6] |
j |
9730520910103059888193/87239167916481 |
j-invariant |
L |
1.2590917154735 |
L(r)(E,1)/r! |
Ω |
0.31477292886838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6783c2 |
Quadratic twists by: -3 |