Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352da |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
953745408 = 216 · 33 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2124,37648] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:224:1] |
Generators of the group modulo torsion |
j |
598885164/539 |
j-invariant |
L |
6.7087800334352 |
L(r)(E,1)/r! |
Ω |
1.5581161839355 |
Real period |
R |
1.0764248684736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352i1 11088c1 44352cw1 |
Quadratic twists by: -4 8 -3 |