Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25584u |
Isogeny class |
Conductor |
25584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
6549504 = 212 · 3 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 2 1 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112,404] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
38272753/1599 |
j-invariant |
L |
5.6118525425644 |
L(r)(E,1)/r! |
Ω |
2.3519484884743 |
Real period |
R |
1.1930219922046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1599a1 102336bv1 76752cb1 |
Quadratic twists by: -4 8 -3 |