Atkin-Lehner |
2+ 3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44370l |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
2335182433026048000 = 222 · 312 · 53 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-599940,163198800] |
[a1,a2,a3,a4,a6] |
Generators |
[4518:14265:8] |
Generators of the group modulo torsion |
j |
32758201296873138241/3203268083712000 |
j-invariant |
L |
3.5999928042932 |
L(r)(E,1)/r! |
Ω |
0.2515199308268 |
Real period |
R |
3.5782381066904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790bc1 |
Quadratic twists by: -3 |