Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100ds |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1139276643750000 = -1 · 24 · 312 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2249625,-1298714375] |
[a1,a2,a3,a4,a6] |
Generators |
[2121:58919:1] |
Generators of the group modulo torsion |
j |
-805661175040/729 |
j-invariant |
L |
4.8572153237004 |
L(r)(E,1)/r! |
Ω |
0.061637072447886 |
Real period |
R |
6.5669560147356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700bx1 44100cj1 44100dr1 |
Quadratic twists by: -3 5 -7 |