Atkin-Lehner |
2- 3- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53592w |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-10605086039856 = -1 · 24 · 3 · 77 · 11 · 293 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ 1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1385,155882] |
[a1,a2,a3,a4,a6] |
Generators |
[3117:36899:27] |
Generators of the group modulo torsion |
j |
18350142531584/662817877491 |
j-invariant |
L |
7.5417461989053 |
L(r)(E,1)/r! |
Ω |
0.54497304777141 |
Real period |
R |
6.919375398196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107184p1 |
Quadratic twists by: -4 |