Atkin-Lehner |
7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44149g |
Isogeny class |
Conductor |
44149 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
106001749 = 76 · 17 · 53 |
Discriminant |
Eigenvalues |
-2 1 -3 7- 0 7 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-212,1012] |
[a1,a2,a3,a4,a6] |
Generators |
[2:24:1] |
Generators of the group modulo torsion |
j |
8998912/901 |
j-invariant |
L |
2.251044679764 |
L(r)(E,1)/r! |
Ω |
1.8289315517687 |
Real period |
R |
0.6153988315152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
901f1 |
Quadratic twists by: -7 |