Atkin-Lehner |
2- 7+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110768m |
Isogeny class |
Conductor |
110768 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-52431368192 = -1 · 212 · 7 · 23 · 433 |
Discriminant |
Eigenvalues |
2- -1 0 7+ -6 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,107,10973] |
[a1,a2,a3,a4,a6] |
Generators |
[4:107:1] |
Generators of the group modulo torsion |
j |
32768000/12800627 |
j-invariant |
L |
3.1173403574391 |
L(r)(E,1)/r! |
Ω |
0.87208110592423 |
Real period |
R |
3.5745991579476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999054974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6923a1 |
Quadratic twists by: -4 |