Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235z |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-771613347292515 = -1 · 38 · 5 · 77 · 134 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 1 13+ -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-160212,-24718743] |
[a1,a2,a3,a4,a6] |
Generators |
[27635:4593496:1] |
Generators of the group modulo torsion |
j |
-21842779439104/37059435 |
j-invariant |
L |
4.097941079122 |
L(r)(E,1)/r! |
Ω |
0.11930307436959 |
Real period |
R |
8.5872495339384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745m1 53235p1 |
Quadratic twists by: -3 13 |