Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
52528bb |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
59246261718482944 = 230 · 77 · 67 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 6 -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-140352,16459316] |
[a1,a2,a3,a4,a6] |
Generators |
[-374:4096:1] |
Generators of the group modulo torsion |
j |
634504103857/122945536 |
j-invariant |
L |
5.0653023471198 |
L(r)(E,1)/r! |
Ω |
0.33351311116085 |
Real period |
R |
1.8984644747308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6566n1 7504p1 |
Quadratic twists by: -4 -7 |