Atkin-Lehner |
2+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
34814g |
Isogeny class |
Conductor |
34814 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
370944 |
Modular degree for the optimal curve |
Δ |
1097071979773744 = 24 · 137 · 1033 |
Discriminant |
Eigenvalues |
2+ 3 1 -4 -4 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25804,83552] |
[a1,a2,a3,a4,a6] |
Generators |
[-276:16024:27] |
Generators of the group modulo torsion |
j |
393671672289/227287216 |
j-invariant |
L |
6.7564834405172 |
L(r)(E,1)/r! |
Ω |
0.4164680435824 |
Real period |
R |
4.0558234567044 |
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 |
2678j1 |
Quadratic twists by: 13 |