Atkin-Lehner |
2- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44944g |
Isogeny class |
Conductor |
44944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
404352 |
Modular degree for the optimal curve |
Δ |
-38492934630178816 = -1 · 215 · 537 |
Discriminant |
Eigenvalues |
2- -2 -3 -2 3 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,44008,-8730476] |
[a1,a2,a3,a4,a6] |
Generators |
[1254:-44944:1] [2214:104624:1] |
Generators of the group modulo torsion |
j |
103823/424 |
j-invariant |
L |
5.1165786226018 |
L(r)(E,1)/r! |
Ω |
0.18452469109919 |
Real period |
R |
1.7330264150978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5618c1 848c1 |
Quadratic twists by: -4 53 |