Atkin-Lehner |
2+ 7- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
89474d |
Isogeny class |
Conductor |
89474 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-6015158072 = -1 · 23 · 77 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11+ -3 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2116,38184] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:223:1] |
Generators of the group modulo torsion |
j |
-8908363017/51128 |
j-invariant |
L |
5.0522858312718 |
L(r)(E,1)/r! |
Ω |
1.3519996905023 |
Real period |
R |
1.8684493298768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12782a1 |
Quadratic twists by: -7 |