Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080en |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-940226641920 = -1 · 221 · 37 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12108,-514928] |
[a1,a2,a3,a4,a6] |
Generators |
[128:180:1] |
Generators of the group modulo torsion |
j |
-1027243729/4920 |
j-invariant |
L |
5.8037999159425 |
L(r)(E,1)/r! |
Ω |
0.22749770978853 |
Real period |
R |
3.1889331760475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999348477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080bb1 29520ca1 39360dg1 |
Quadratic twists by: -4 8 -3 |