Atkin-Lehner |
5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10075f |
Isogeny class |
Conductor |
10075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5824 |
Modular degree for the optimal curve |
Δ |
-654875 = -1 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
0 -3 5- -2 2 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1720,27456] |
[a1,a2,a3,a4,a6] |
Generators |
[20:32:1] |
Generators of the group modulo torsion |
j |
-4501933129728/5239 |
j-invariant |
L |
1.6252242550048 |
L(r)(E,1)/r! |
Ω |
2.4272053584216 |
Real period |
R |
0.16739665737036 |
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 |
90675bq1 10075i1 |
Quadratic twists by: -3 5 |