Atkin-Lehner |
3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
53235n |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2759547341916421875 = 314 · 56 · 75 · 133 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 13- -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10512248,13121105456] |
[a1,a2,a3,a4,a6] |
Generators |
[660:80107:1] |
Generators of the group modulo torsion |
j |
80214500261567905813/1722980109375 |
j-invariant |
L |
2.5911840812063 |
L(r)(E,1)/r! |
Ω |
0.23560917509859 |
Real period |
R |
2.7494515866449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745u2 53235bp2 |
Quadratic twists by: -3 13 |