Atkin-Lehner |
2- 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
79120r |
Isogeny class |
Conductor |
79120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
167424 |
Modular degree for the optimal curve |
Δ |
-265793750000 = -1 · 24 · 58 · 23 · 432 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 -6 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1307,16867] |
[a1,a2,a3,a4,a6] |
Generators |
[18:215:1] [66:625:1] |
Generators of the group modulo torsion |
j |
15432294134016/16612109375 |
j-invariant |
L |
5.3634364123319 |
L(r)(E,1)/r! |
Ω |
0.65023364662235 |
Real period |
R |
2.0621189168067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19780a1 |
Quadratic twists by: -4 |