Atkin-Lehner |
2- 5+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
79550k |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-636400000000 = -1 · 210 · 58 · 37 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-505,-38503] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1360:1] |
Generators of the group modulo torsion |
j |
-909853209/40729600 |
j-invariant |
L |
11.130664209109 |
L(r)(E,1)/r! |
Ω |
0.39912593791613 |
Real period |
R |
2.7887599248156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15910d1 |
Quadratic twists by: 5 |