Atkin-Lehner |
3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099v |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-466451109575451 = -1 · 310 · 73 · 116 · 13 |
Discriminant |
Eigenvalues |
-2 3- 1 7+ 11- 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-28677,2138584] |
[a1,a2,a3,a4,a6] |
Generators |
[88:-545:1] |
Generators of the group modulo torsion |
j |
-2019487744/361179 |
j-invariant |
L |
2.838567853836 |
L(r)(E,1)/r! |
Ω |
0.50592881976746 |
Real period |
R |
1.4026517888785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33033a1 819f1 |
Quadratic twists by: -3 -11 |