Atkin-Lehner |
3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
53235n |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
4580712313638449625 = 310 · 53 · 710 · 133 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 13- -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-680153,189934112] |
[a1,a2,a3,a4,a6] |
Generators |
[150:9478:1] |
Generators of the group modulo torsion |
j |
21726280496903653/2860061896125 |
j-invariant |
L |
2.5911840812063 |
L(r)(E,1)/r! |
Ω |
0.23560917509859 |
Real period |
R |
5.4989031732898 |
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 |
17745u1 53235bp1 |
Quadratic twists by: -3 13 |