Atkin-Lehner |
2+ 3+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
44856a |
Isogeny class |
Conductor |
44856 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
90624 |
Modular degree for the optimal curve |
Δ |
-11699462492928 = -1 · 28 · 33 · 74 · 893 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4476,200916] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:-534:1] [-62:490:1] |
Generators of the group modulo torsion |
j |
-1434796194816/1692630569 |
j-invariant |
L |
8.0945065419239 |
L(r)(E,1)/r! |
Ω |
0.64792857313278 |
Real period |
R |
0.26026873940961 |
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 |
89712b1 44856d1 |
Quadratic twists by: -4 -3 |