Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080by |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
1377285120 = 210 · 38 · 5 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22152,-1269016] |
[a1,a2,a3,a4,a6] |
Generators |
[1044290:21480536:2197] |
Generators of the group modulo torsion |
j |
1610404796416/1845 |
j-invariant |
L |
8.4269060731623 |
L(r)(E,1)/r! |
Ω |
0.39133288879158 |
Real period |
R |
10.766928007535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080fb1 14760n1 39360g1 |
Quadratic twists by: -4 8 -3 |