Atkin-Lehner |
2- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44720j |
Isogeny class |
Conductor |
44720 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
304640 |
Modular degree for the optimal curve |
Δ |
-34536783756800000 = -1 · 212 · 55 · 137 · 43 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 -2 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-220136,40674164] |
[a1,a2,a3,a4,a6] |
Generators |
[302:1352:1] |
Generators of the group modulo torsion |
j |
-288030812484797929/8431831971875 |
j-invariant |
L |
5.1154497769812 |
L(r)(E,1)/r! |
Ω |
0.36630042199299 |
Real period |
R |
0.49875627742317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2795b1 |
Quadratic twists by: -4 |