Atkin-Lehner |
3- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
2337c |
Isogeny class |
Conductor |
2337 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
161068377 = 3 · 19 · 414 |
Discriminant |
Eigenvalues |
-1 3- -2 0 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-339,-2352] |
[a1,a2,a3,a4,a6] |
j |
4309261738417/161068377 |
j-invariant |
L |
1.1151693427886 |
L(r)(E,1)/r! |
Ω |
1.1151693427886 |
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 |
37392i4 7011d3 58425f4 114513b4 |
Quadratic twists by: -4 -3 5 -7 |