Atkin-Lehner |
2+ 3- 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33726j |
Isogeny class |
Conductor |
33726 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
6720653681930067264 = 26 · 312 · 75 · 115 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- -6 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-563195,104393990] |
[a1,a2,a3,a4,a6] |
Generators |
[-825:3184:1] [-726:-11072:1] |
Generators of the group modulo torsion |
j |
19755998075850349603753/6720653681930067264 |
j-invariant |
L |
6.6419384662403 |
L(r)(E,1)/r! |
Ω |
0.21798397490102 |
Real period |
R |
0.050783079117452 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101178bt1 |
Quadratic twists by: -3 |