Atkin-Lehner |
3- 5+ 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
122265j |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10897624334025 = 310 · 52 · 112 · 132 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6435,121000] |
[a1,a2,a3,a4,a6] |
j |
40427771258161/14948730225 |
j-invariant |
L |
2.6318942892007 |
L(r)(E,1)/r! |
Ω |
0.65797349582414 |
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 |
40755j2 |
Quadratic twists by: -3 |