Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44640be |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-8303040 = -1 · 26 · 33 · 5 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -6 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57,-216] |
[a1,a2,a3,a4,a6] |
Generators |
[15:48:1] |
Generators of the group modulo torsion |
j |
-11852352/4805 |
j-invariant |
L |
3.5442512622432 |
L(r)(E,1)/r! |
Ω |
0.85177108313654 |
Real period |
R |
2.0805186583633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640bf1 89280dd1 44640c1 |
Quadratic twists by: -4 8 -3 |