Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100l |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
-7941307500000000 = -1 · 28 · 33 · 510 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -7 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-4287500] |
[a1,a2,a3,a4,a6] |
Generators |
[186868883:923156991:1092727] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.4830772650758 |
L(r)(E,1)/r! |
Ω |
0.19054505924995 |
Real period |
R |
14.387875725214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44100l2 44100y1 900a1 |
Quadratic twists by: -3 5 -7 |