Atkin-Lehner |
2+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110656n |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-278590973280256 = -1 · 226 · 75 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 0 1 7- -1 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26732,1864112] |
[a1,a2,a3,a4,a6] |
Generators |
[262:-3584:1] [52:784:1] |
Generators of the group modulo torsion |
j |
-8058944177649/1062740224 |
j-invariant |
L |
12.367533602374 |
L(r)(E,1)/r! |
Ω |
0.53235644422141 |
Real period |
R |
1.1615839102709 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656y1 3458e1 |
Quadratic twists by: -4 8 |