Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21900h |
Isogeny class |
Conductor |
21900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-920851200 = -1 · 28 · 33 · 52 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 4 5 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,187,1143] |
[a1,a2,a3,a4,a6] |
Generators |
[34:219:1] |
Generators of the group modulo torsion |
j |
112394240/143883 |
j-invariant |
L |
5.6852993338127 |
L(r)(E,1)/r! |
Ω |
1.0565086007781 |
Real period |
R |
0.89686907259525 |
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 |
87600bj1 65700h1 21900e1 |
Quadratic twists by: -4 -3 5 |