Atkin-Lehner |
5+ 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44225a |
Isogeny class |
Conductor |
44225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4322924955939453125 = 59 · 296 · 612 |
Discriminant |
Eigenvalues |
1 2 5+ 2 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-791525,-252242500] |
[a1,a2,a3,a4,a6] |
Generators |
[35440255622684817500552600:4050286274858357433702312950:2677652919421961590907] |
Generators of the group modulo torsion |
j |
3509929979671057489/276667197180125 |
j-invariant |
L |
11.504950522954 |
L(r)(E,1)/r! |
Ω |
0.16086006025477 |
Real period |
R |
35.760742923762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8845b2 |
Quadratic twists by: 5 |