Atkin-Lehner |
5+ 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
28675d |
Isogeny class |
Conductor |
28675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
555578125 = 56 · 312 · 37 |
Discriminant |
Eigenvalues |
0 1 5+ 5 -3 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-233,694] |
[a1,a2,a3,a4,a6] |
Generators |
[2:15:1] |
Generators of the group modulo torsion |
j |
89915392/35557 |
j-invariant |
L |
5.8044317140617 |
L(r)(E,1)/r! |
Ω |
1.4910555417876 |
Real period |
R |
0.97320850085554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1147a1 |
Quadratic twists by: 5 |