Atkin-Lehner |
5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
3445a |
Isogeny class |
Conductor |
3445 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
17225 = 52 · 13 · 53 |
Discriminant |
Eigenvalues |
1 -2 5+ -2 2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-359,-2643] |
[a1,a2,a3,a4,a6] |
Generators |
[89:775:1] |
Generators of the group modulo torsion |
j |
5096439860329/17225 |
j-invariant |
L |
2.5263941848841 |
L(r)(E,1)/r! |
Ω |
1.0971627224248 |
Real period |
R |
4.6053226804873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55120f1 31005o1 17225f1 44785g1 |
Quadratic twists by: -4 -3 5 13 |