Atkin-Lehner |
5- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16835f |
Isogeny class |
Conductor |
16835 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
5616 |
Modular degree for the optimal curve |
Δ |
-6576171875 = -1 · 59 · 7 · 13 · 37 |
Discriminant |
Eigenvalues |
0 1 5- 7- 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,125,3906] |
[a1,a2,a3,a4,a6] |
Generators |
[234:1459:8] |
Generators of the group modulo torsion |
j |
214276603904/6576171875 |
j-invariant |
L |
5.1681224566382 |
L(r)(E,1)/r! |
Ω |
1.0056021407628 |
Real period |
R |
5.13933119983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
84175a1 117845e1 |
Quadratic twists by: 5 -7 |