Atkin-Lehner |
2+ 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68112c |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
353092608 = 210 · 36 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1395,20034] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:190:1] [3:126:1] |
Generators of the group modulo torsion |
j |
402178500/473 |
j-invariant |
L |
10.26582176892 |
L(r)(E,1)/r! |
Ω |
1.6975279650346 |
Real period |
R |
3.0237563033843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34056z1 7568e1 |
Quadratic twists by: -4 -3 |