Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
33033bc |
Isogeny class |
Conductor |
33033 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
940800 |
Modular degree for the optimal curve |
Δ |
-2.1030155586813E+19 |
Discriminant |
Eigenvalues |
-2 3- 1 7- 11- 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,307300,210772238] |
[a1,a2,a3,a4,a6] |
Generators |
[2317:-115616:1] |
Generators of the group modulo torsion |
j |
1811564780171264/11870974573731 |
j-invariant |
L |
4.1241242561883 |
L(r)(E,1)/r! |
Ω |
0.15634812342117 |
Real period |
R |
0.078505447109393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99099ce1 273b1 |
Quadratic twists by: -3 -11 |