Atkin-Lehner |
2+ 7+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13202a |
Isogeny class |
Conductor |
13202 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-398383552 = -1 · 26 · 7 · 232 · 412 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 4 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,184,0] |
[a1,a2,a3,a4,a6] |
Generators |
[8:40:1] |
Generators of the group modulo torsion |
j |
686829337767/398383552 |
j-invariant |
L |
3.7829009545685 |
L(r)(E,1)/r! |
Ω |
1.013279517043 |
Real period |
R |
1.8666621060336 |
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 |
105616v1 118818bg1 92414g1 |
Quadratic twists by: -4 -3 -7 |