Atkin-Lehner |
3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28275g |
Isogeny class |
Conductor |
28275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-2067609375 = -1 · 33 · 56 · 132 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,299,923] |
[a1,a2,a3,a4,a6] |
Generators |
[13:77:1] |
Generators of the group modulo torsion |
j |
190109375/132327 |
j-invariant |
L |
7.1198981921649 |
L(r)(E,1)/r! |
Ω |
0.92951435946243 |
Real period |
R |
2.553268137526 |
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 |
84825v1 1131a1 |
Quadratic twists by: -3 5 |