Atkin-Lehner |
2- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
50470q |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-581899012940 = -1 · 22 · 5 · 710 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 6 -2 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1030,38415] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1309:1] |
Generators of the group modulo torsion |
j |
-1027243729/4946060 |
j-invariant |
L |
8.5345506691901 |
L(r)(E,1)/r! |
Ω |
0.79754570414639 |
Real period |
R |
2.675254416401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210c1 |
Quadratic twists by: -7 |