Atkin-Lehner |
2+ 3- 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44370t |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
10381800058593750 = 2 · 37 · 510 · 172 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-100224,11210530] |
[a1,a2,a3,a4,a6] |
Generators |
[5684:108083:64] [-229:4817:1] |
Generators of the group modulo torsion |
j |
152726295025317889/14241152343750 |
j-invariant |
L |
6.9802176960837 |
L(r)(E,1)/r! |
Ω |
0.39550511135523 |
Real period |
R |
0.44122171216478 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790p2 |
Quadratic twists by: -3 |