Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780v |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
171072 |
Modular degree for the optimal curve |
Δ |
-699431468400 = -1 · 24 · 39 · 52 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3446,86505] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:105:1] [-38:405:1] |
Generators of the group modulo torsion |
j |
-117837470464/18206775 |
j-invariant |
L |
12.663402621845 |
L(r)(E,1)/r! |
Ω |
0.87322871907486 |
Real period |
R |
0.80565647061286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000464 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
108780u1 |
Quadratic twists by: -7 |