Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44376d |
Isogeny class |
Conductor |
44376 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
160512 |
Modular degree for the optimal curve |
Δ |
-10816839574272 = -1 · 28 · 312 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -3 -1 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51313,4459667] |
[a1,a2,a3,a4,a6] |
Generators |
[143:-258:1] [11:1974:1] |
Generators of the group modulo torsion |
j |
-734123392000/531441 |
j-invariant |
L |
9.758016557991 |
L(r)(E,1)/r! |
Ω |
0.71378280249765 |
Real period |
R |
0.14240467192081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88752b1 44376g1 |
Quadratic twists by: -4 -43 |