Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352m |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
695280402432 = 216 · 39 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19116,1016496] |
[a1,a2,a3,a4,a6] |
Generators |
[24:756:1] |
Generators of the group modulo torsion |
j |
598885164/539 |
j-invariant |
L |
4.4515252184386 |
L(r)(E,1)/r! |
Ω |
0.89957879822386 |
Real period |
R |
1.2371137545767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352cw1 5544b1 44352i1 |
Quadratic twists by: -4 8 -3 |