Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712dh |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-863742528 = -1 · 26 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105,-1352] |
[a1,a2,a3,a4,a6] |
Generators |
[72:616:1] |
Generators of the group modulo torsion |
j |
2744000/18513 |
j-invariant |
L |
6.8897995534001 |
L(r)(E,1)/r! |
Ω |
0.78823895065533 |
Real period |
R |
4.3703749551762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712eg1 53856y2 35904db1 |
Quadratic twists by: -4 8 -3 |