Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100dt |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-25729836300000000 = -1 · 28 · 37 · 58 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13377000,-18831557500] |
[a1,a2,a3,a4,a6] |
Generators |
[29149:4935393:1] |
Generators of the group modulo torsion |
j |
-30866268160/3 |
j-invariant |
L |
4.2519198252737 |
L(r)(E,1)/r! |
Ω |
0.039471158622887 |
Real period |
R |
8.976849539467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700y2 44100cq2 900f2 |
Quadratic twists by: -3 5 -7 |