Atkin-Lehner |
2+ 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730o |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-7580841753382727760 = -1 · 24 · 38 · 5 · 79 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,480060,33911136] |
[a1,a2,a3,a4,a6] |
j |
16783488576756941759/10398959881183440 |
j-invariant |
L |
1.7403324127607 |
L(r)(E,1)/r! |
Ω |
0.14502770107397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
14910bn2 |
Quadratic twists by: -3 |