Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100920bt |
Isogeny class |
Conductor |
100920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
5120519328000 = 28 · 38 · 53 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4340,14688] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:-270:1] |
Generators of the group modulo torsion |
j |
1448301584/820125 |
j-invariant |
L |
9.5723277319663 |
L(r)(E,1)/r! |
Ω |
0.65965347270681 |
Real period |
R |
0.3023155377311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100920k1 |
Quadratic twists by: 29 |