Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040cu |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-346891444224000 = -1 · 216 · 3 · 53 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14960,-549100] |
[a1,a2,a3,a4,a6] |
Generators |
[340:6630:1] |
Generators of the group modulo torsion |
j |
90391899763439/84690294000 |
j-invariant |
L |
5.9496940295748 |
L(r)(E,1)/r! |
Ω |
0.29500814082057 |
Real period |
R |
0.84032907434778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630r1 |
Quadratic twists by: -4 |