Atkin-Lehner |
3- 5+ 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
122265j |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-813707912024865 = -1 · 38 · 5 · 114 · 13 · 194 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19890,842305] |
[a1,a2,a3,a4,a6] |
j |
1193680917131039/1116197410185 |
j-invariant |
L |
2.6318942892007 |
L(r)(E,1)/r! |
Ω |
0.32898674791207 |
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 |
40755j3 |
Quadratic twists by: -3 |