Atkin-Lehner |
3+ 5- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36465g |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3640118625 = 32 · 53 · 114 · 13 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 11+ 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1326002,-588264609] |
[a1,a2,a3,a4,a6] |
j |
257843840494236764875561/3640118625 |
j-invariant |
L |
1.6882809237228 |
L(r)(E,1)/r! |
Ω |
0.14069007697636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109395o4 |
Quadratic twists by: -3 |