Atkin-Lehner |
2+ 7- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99946d |
Isogeny class |
Conductor |
99946 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
13790948864 = 29 · 73 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ -2 1 7- 11+ 1 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-773,-6096] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:44:1] |
Generators of the group modulo torsion |
j |
38306833811/10361344 |
j-invariant |
L |
3.8570979524452 |
L(r)(E,1)/r! |
Ω |
0.9239157496122 |
Real period |
R |
0.69578817955269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99946g1 |
Quadratic twists by: -11 |