Atkin-Lehner |
2- 3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
99540i |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-1658673412488414000 = -1 · 24 · 318 · 53 · 73 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44148,62066653] |
[a1,a2,a3,a4,a6] |
Generators |
[4623:314104:1] |
Generators of the group modulo torsion |
j |
-815848093106176/142204510672875 |
j-invariant |
L |
6.5367893070174 |
L(r)(E,1)/r! |
Ω |
0.2175649894845 |
Real period |
R |
5.0075377004062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999758671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33180r1 |
Quadratic twists by: -3 |