Atkin-Lehner |
5+ 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13195c |
Isogeny class |
Conductor |
13195 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-100904606075 = -1 · 52 · 77 · 132 · 29 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- 0 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2031,39087] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:227:1] [1:192:1] |
Generators of the group modulo torsion |
j |
-926973454680064/100904606075 |
j-invariant |
L |
4.6322834656003 |
L(r)(E,1)/r! |
Ω |
1.0350686798672 |
Real period |
R |
0.15983354381971 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118755s1 65975f1 92365j1 |
Quadratic twists by: -3 5 -7 |