Atkin-Lehner |
2+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
110864b |
Isogeny class |
Conductor |
110864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3601920 |
Modular degree for the optimal curve |
Δ |
-6169849082626451456 = -1 · 211 · 1311 · 412 |
Discriminant |
Eigenvalues |
2+ -1 -3 5 6 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,110808,118624336] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:10414:1] |
Generators of the group modulo torsion |
j |
15220996126/624143533 |
j-invariant |
L |
5.9302075591119 |
L(r)(E,1)/r! |
Ω |
0.18067520687391 |
Real period |
R |
4.1028094432459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55432a1 8528b1 |
Quadratic twists by: -4 13 |