Atkin-Lehner |
2- 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108780x |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
109586231672400 = 24 · 35 · 52 · 77 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24761,1404360] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:735:1] [37:735:1] |
Generators of the group modulo torsion |
j |
891943960576/58216725 |
j-invariant |
L |
13.048034638167 |
L(r)(E,1)/r! |
Ω |
0.58304446353159 |
Real period |
R |
0.37298569418544 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15540f1 |
Quadratic twists by: -7 |