Atkin-Lehner |
3- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
57525h |
Isogeny class |
Conductor |
57525 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
-95455546875 = -1 · 33 · 57 · 13 · 592 |
Discriminant |
Eigenvalues |
0 3- 5+ -5 3 13+ 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1633,-29981] |
[a1,a2,a3,a4,a6] |
Generators |
[173:2212:1] |
Generators of the group modulo torsion |
j |
-30840979456/6109155 |
j-invariant |
L |
4.4756625652199 |
L(r)(E,1)/r! |
Ω |
0.37152357186142 |
Real period |
R |
0.50194914759483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11505c1 |
Quadratic twists by: 5 |