Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
50540o |
Isogeny class |
Conductor |
50540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
85536 |
Modular degree for the optimal curve |
Δ |
-10538277344000 = -1 · 28 · 53 · 7 · 196 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 3 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1925,160177] |
[a1,a2,a3,a4,a6] |
Generators |
[32:361:1] |
Generators of the group modulo torsion |
j |
-65536/875 |
j-invariant |
L |
5.5319950134412 |
L(r)(E,1)/r! |
Ω |
0.6117514040029 |
Real period |
R |
1.5071467966823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
140a1 |
Quadratic twists by: -19 |