Atkin-Lehner |
2- 3- 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127908h |
Isogeny class |
Conductor |
127908 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
6912000 |
Modular degree for the optimal curve |
Δ |
-7.1461088588836E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-798240,-12864468076] |
[a1,a2,a3,a4,a6] |
Generators |
[37093:7140969:1] |
Generators of the group modulo torsion |
j |
-301409320763392000/382914783676463643 |
j-invariant |
L |
7.4570657872211 |
L(r)(E,1)/r! |
Ω |
0.049426418351362 |
Real period |
R |
7.5436033004578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999912993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42636a1 |
Quadratic twists by: -3 |