Atkin-Lehner |
2- 3- 5- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990y |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
-13250569488532200 = -1 · 23 · 312 · 52 · 112 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28183,-5237359] |
[a1,a2,a3,a4,a6] |
Generators |
[261:4324:1] |
Generators of the group modulo torsion |
j |
3396036054530231/18176364181800 |
j-invariant |
L |
11.557059666249 |
L(r)(E,1)/r! |
Ω |
0.19990029262975 |
Real period |
R |
2.4089217019855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33330c1 |
Quadratic twists by: -3 |