Atkin-Lehner |
2- 3+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
53088l |
Isogeny class |
Conductor |
53088 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
668160 |
Modular degree for the optimal curve |
Δ |
-116722152698425344 = -1 · 212 · 33 · 73 · 795 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -6 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,96851,11612581] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:524:1] |
Generators of the group modulo torsion |
j |
24528534860676608/28496619311139 |
j-invariant |
L |
6.4534514287437 |
L(r)(E,1)/r! |
Ω |
0.22156122360332 |
Real period |
R |
4.854528335848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53088r1 106176ce1 |
Quadratic twists by: -4 8 |