Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44376i |
Isogeny class |
Conductor |
44376 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1180608 |
Modular degree for the optimal curve |
Δ |
3473920133707458816 = 28 · 33 · 439 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -6 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-821572,271964000] |
[a1,a2,a3,a4,a6] |
Generators |
[-842:19170:1] |
Generators of the group modulo torsion |
j |
476656/27 |
j-invariant |
L |
9.4760413745098 |
L(r)(E,1)/r! |
Ω |
0.24656107280181 |
Real period |
R |
6.4054727339442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88752c1 44376a1 |
Quadratic twists by: -4 -43 |